125573990997312 has 3360 divisors, whose sum is σ = 472723814154240. Its totient is φ = 32623248752640.

The previous prime is 125573990997211. The next prime is 125573990997373. The reversal of 125573990997312 is 213799099375521.

125573990997312 is a `hidden beast` number, since 1 + 2 + 557 + 39 + 9 + 0 + 9 + 9 + 7 + 31 + 2 = 666.

125573990997312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 988771582593 + ... + 988771582719.

Almost surely, 2^{125573990997312} is an apocalyptic number.

125573990997312 is a gapful number since it is divisible by the number (12) 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 125573990997312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236361907077120).

125573990997312 is an abundant number, since it is smaller than the sum of its proper divisors (347149823156928).

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

125573990997312 is a wasteful number, since it uses less digits than its factorization.

125573990997312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 289340100, while the sum is 72.

The spelling of 125573990997312 in words is "one hundred twenty-five trillion, five hundred seventy-three billion, nine hundred ninety million, nine hundred ninety-seven thousand, three hundred twelve".