124 (number)
{{Infobox number
| number = 124
| divisor = 1, 2, 4, 31, 62, 124
}}
124 (one hundred [and] twenty-four) is the natural number following 123 and preceding 125.
In mathematics
File:StellaOctangulaNumber.jpg 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.{{cite OEIS|A005114|Untouchable numbers, also called nonaliquot numbers: impossible values for the sum of aliquot parts function}}
It is a stella octangula number, the number of spheres packed in the shape of a stellated octahedron.{{cite OEIS|A007588|Stella octangula numbers}} It is also an icosahedral number.{{cite OEIS|A006564|Icosahedral numbers}}
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.{{cite OEIS|A002931|Number of self-avoiding polygons of length 2n on square lattice (not allowing rotations)}}
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.{{cite OEIS|A051177|Perfectly partitioned numbers: numbers k that divide the number of partitions p(k)}}