125625660032124 has 768 divisors, whose sum is σ = 433085261414400. Its totient is φ = 30599169638400.

The previous prime is 125625660032083. The next prime is 125625660032179. The reversal of 125625660032124 is 421230066526521.

125625660032124 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 2 + 5 + 6 + 600 + 32 + 1 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 125625660032124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23088705244 + ... + 23088710684.

It is an arithmetic number, because the mean of its divisors is an integer number (563913100800).

Almost surely, 2^{125625660032124} is an apocalyptic number.

125625660032124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125625660032124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216542630707200).

125625660032124 is an abundant number, since it is smaller than the sum of its proper divisors (307459601382276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125625660032124 is a wasteful number, since it uses less digits than its factorization.

125625660032124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9631 (or 9623 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 125625660032124 in words is "one hundred twenty-five trillion, six hundred twenty-five billion, six hundred sixty million, thirty-two thousand, one hundred twenty-four".