125824512 has 120 divisors (see below), whose sum is σ = 368992008. Its totient is φ = 38072320.

The previous prime is 125824471. The next prime is 125824529. The reversal of 125824512 is 215428521.

It is a self number, because there is not a number n which added to its sum of digits gives 125824512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185518 + ... + 186194.

Almost surely, 2^125824512 is an apocalyptic number.

125824512 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 125824512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184496004).

125824512 is an abundant number, since it is smaller than the sum of its proper divisors (243167496).

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

125824512 is an equidigital number, since it uses as much as digits as its factorization.

125824512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 693 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The square root of 125824512 is about 11217.1525798662. The cubic root of 125824512 is about 501.0969410143.

The spelling of 125824512 in words is "one hundred twenty-five million, eight hundred twenty-four thousand, five hundred twelve".