125920512 has 216 divisors, whose sum is σ = 392840448. Its totient is φ = 38707200.

The previous prime is 125920511. The next prime is 125920519. The reversal of 125920512 is 215029521.

125920512 is a `hidden beast` number, since 125 + 9 + 20 + 512 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125920511) 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, 2928363 + ... + 2928405.

Almost surely, 2^125920512 is an apocalyptic number.

125920512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125920512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196420224).

125920512 is an abundant number, since it is smaller than the sum of its proper divisors (266919936).

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

125920512 is a wasteful number, since it uses less digits than its factorization.

125920512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 125920512 is about 11221.4309247974. The cubic root of 125920512 is about 501.2243488261.

The spelling of 125920512 in words is "one hundred twenty-five million, nine hundred twenty thousand, five hundred twelve".