125031114624 has 128 divisors (see below), whose sum is σ = 357936768000. Its totient is φ = 38441465856.

The previous prime is 125031114619. The next prime is 125031114631. The reversal of 125031114624 is 426411130521.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×125031114624² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125031114591 and 125031114600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6974857 + ... + 6992759.

It is an arithmetic number, because the mean of its divisors is an integer number (2796381000).

Almost surely, 2^125031114624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125031114624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178968384000).

125031114624 is an abundant number, since it is smaller than the sum of its proper divisors (232905653376).

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

125031114624 is a wasteful number, since it uses less digits than its factorization.

125031114624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19332 (or 19320 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 125031114624 in words is "one hundred twenty-five billion, thirty-one million, one hundred fourteen thousand, six hundred twenty-four".