125961052672 has 240 divisors, whose sum is σ = 331896882240. Its totient is φ = 47205752832.

The previous prime is 125961052663. The next prime is 125961052673. The reversal of 125961052672 is 276250169521.

It is not an unprimeable number, because it can be changed into a prime (125961052673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6186573 + ... + 6206899.

It is an arithmetic number, because the mean of its divisors is an integer number (1382903676).

Almost surely, 2^125961052672 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 125961052672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165948441120).

125961052672 is an abundant number, since it is smaller than the sum of its proper divisors (205935829568).

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

125961052672 is a wasteful number, since it uses less digits than its factorization.

125961052672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20391 (or 20368 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 125961052672 in words is "one hundred twenty-five billion, nine hundred sixty-one million, fifty-two thousand, six hundred seventy-two".