124 (number)

← 123 124 125 →
← 120 121 122 123 124 125 126 127 128 129 → List of numbers Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	one hundred twenty-four
Ordinal	124th (one hundred twenty-fourth)
Factorization	2^2 × 31
Divisors	1, 2, 4, 31, 62, 124
Greek numeral	ΡΚΔ´
Roman numeral	CXXIV
Binary	11111002
Ternary	111213
Senary	3246
Octal	1748
Duodecimal	A412
Hexadecimal	7C16

124 (one hundred [and] twenty-four) is the natural number following 123 and preceding 125.

In mathematics

124 magnetic balls arranged into the shape of a stella octangula

124 is an untouchable number, meaning that it is not the sum of proper divisors of any positive number.^[1]

It is a stella octangula number, the number of spheres packed in the shape of a stellated octahedron.^[2] It is also an icosahedral number.^[3]

There are 124 different polygons of length 12 formed by edges of the integer lattice, counting two polygons as the same only when one is a translated copy of the other.^[4]

124 is a perfectly partitioned number, meaning that it divides the number of partitions of 124. It is the first number to do so after 1, 2, and 3.^[5]

In science

124 is the atomic number of unbiquadium, a hypothetical superactinide element.

See also

• The year AD 124 or 124 BC
• 124th (disambiguation)
• List of highways numbered 124
• All pages with titles containing 124

References

1. Sloane, N. J. A. (ed.). "Sequence A005114 (Untouchable numbers, also called nonaliquot numbers: impossible values for the sum of aliquot parts function)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
2. Sloane, N. J. A. (ed.). "Sequence A007588 (Stella octangula numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
3. Sloane, N. J. A. (ed.). "Sequence A006564 (Icosahedral numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
4. Sloane, N. J. A. (ed.). "Sequence A002931 (Number of self-avoiding polygons of length 2n on square lattice (not allowing rotations))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
5. Sloane, N. J. A. (ed.). "Sequence A051177 (Perfectly partitioned numbers: numbers k that divide the number of partitions p(k))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.