125630460872 has 128 divisors (see below), whose sum is σ = 283481856000. Its totient is φ = 51063091200.

The previous prime is 125630460833. The next prime is 125630460877. The reversal of 125630460872 is 278064036521.

125630460872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×125630460872² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125630460877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31025504 + ... + 31029552.

It is an arithmetic number, because the mean of its divisors is an integer number (2214702000).

Almost surely, 2^125630460872 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 125630460872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141740928000).

125630460872 is an abundant number, since it is smaller than the sum of its proper divisors (157851395128).

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

125630460872 is a wasteful number, since it uses less digits than its factorization.

125630460872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4447 (or 4443 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 125630460872 in words is "one hundred twenty-five billion, six hundred thirty million, four hundred sixty thousand, eight hundred seventy-two".