125031563712 has 672 divisors, whose sum is σ = 433492899840. Its totient is φ = 35350318080.

The previous prime is 125031563677. The next prime is 125031563743. The reversal of 125031563712 is 217365130521.

125031563712 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 3 + 1 + 5 + 637 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169189839 + ... + 169190577.

It is an arithmetic number, because the mean of its divisors is an integer number (645078720).

Almost surely, 2^125031563712 is an apocalyptic number.

125031563712 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 125031563712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216746449920).

125031563712 is an abundant number, since it is smaller than the sum of its proper divisors (308461336128).

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

125031563712 is a wasteful number, since it uses less digits than its factorization.

125031563712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 125031563712 in words is "one hundred twenty-five billion, thirty-one million, five hundred sixty-three thousand, seven hundred twelve".