125013733712 has 30 divisors (see below), whose sum is σ = 281759271498. Its totient is φ = 53577314112.

The previous prime is 125013733711. The next prime is 125013733717. The reversal of 125013733712 is 217337310521.

125013733712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 114728528656 + 10285205056 = 338716^2 + 101416^2 .

It is a super-2 number, since 2×125013733712² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125013733711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 79727363 + ... + 79728930.

Almost surely, 2^125013733712 is an apocalyptic number.

It is an amenable number.

125013733712 is an abundant number, since it is smaller than the sum of its proper divisors (156745537786).

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

125013733712 is a wasteful number, since it uses less digits than its factorization.

125013733712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159456315 (or 159456302 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 35.

The spelling of 125013733712 in words is "one hundred twenty-five billion, thirteen million, seven hundred thirty-three thousand, seven hundred twelve".