12579917925124 has 81 divisors (see below), whose sum is σ = 24330196181109. Its totient is φ = 5687109853920.

The previous prime is 12579917925079. The next prime is 12579917925163. The reversal of 12579917925124 is 42152971997521.

The square root of 12579917925124 is 3546818.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 41010300100 + 12538907625024 = 202510^2 + 3541032^2 .

It is a super-2 number, since 2×12579917925124² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20521888642 + ... + 20521889254.

Almost surely, 2^{12579917925124} is an apocalyptic number.

12579917925124 is the 3546818-th square number.

It is an amenable number.

12579917925124 is a deficient number, since it is larger than the sum of its proper divisors (11750278255985).

12579917925124 is an frugal number, since it uses more digits than its factorization.

12579917925124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 889 counting only the distinct ones).

The product of its digits is 28576800, while the sum is 64.

Multiplying 12579917925124 by its sum of digits (64), we get a square (805114747207936 = 28374544²).

The spelling of 12579917925124 in words is "twelve trillion, five hundred seventy-nine billion, nine hundred seventeen million, nine hundred twenty-five thousand, one hundred twenty-four".