125809917120 has 224 divisors, whose sum is σ = 469937592000. Its totient is φ = 31575785472.

The previous prime is 125809917097. The next prime is 125809917139. The reversal of 125809917120 is 21719908521.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281395 + ... + 575154.

Almost surely, 2^125809917120 is an apocalyptic number.

125809917120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125809917120 is an abundant number, since it is smaller than the sum of its proper divisors (344127674880).

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

125809917120 is a wasteful number, since it uses less digits than its factorization.

125809917120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856592 (or 856576 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 125809917120 in words is "one hundred twenty-five billion, eight hundred nine million, nine hundred seventeen thousand, one hundred twenty".