124 (one hundred ndtwenty-four) is the

natural number In mathematics, the natural numbers are the numbers 0, 1, 2, 3, and so on, possibly excluding 0. Some start counting with 0, defining the natural numbers as the non-negative integers , while others start with 1, defining them as the positive in ...

following 123 and preceding

125 125 may refer to: *125 (number), a natural number *AD 125, a year in the 2nd century AD *125 BC, a year in the 2nd century BC *125 (dinghy), a two person intermediate sailing dinghy *125 (New Jersey bus), a New Jersey Transit bus route *125 Liberatr ...

In mathematics

124 is an

untouchable number In mathematics, an untouchable number is a positive integer that cannot be expressed as the sum of all the proper divisors of any positive integer. That is, these numbers are not in the image of the aliquot sum function. Their study goes back at l ...

, meaning that it is not the sum of proper divisors of any positive number. It is a stella octangula number, the number of spheres packed in the shape of a

stellated octahedron The stellated octahedron is the only stellation of the octahedron. It is also called the stella octangula (Latin for "eight-pointed star"), a name given to it by Johannes Kepler in 1609, though it was known to earlier geometers. It was depicted ...

. It is also an icosahedral number. There are 124 different polygons of length 12 formed by edges of the

integer lattice In mathematics, the -dimensional integer lattice (or cubic lattice), denoted , is the lattice (group), lattice in the Euclidean space whose lattice points are tuple, -tuples of integers. The two-dimensional integer lattice is also called the s ...

, counting two polygons as the same only when one is a translated copy of the other. 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.

References

Integers {{Num-stub