125724595200 has 264 divisors, whose sum is σ = 418213104672. Its totient is φ = 33309818880.

The previous prime is 125724595103. The next prime is 125724595207. The reversal of 125724595200 is 2595427521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125724595207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12052387 + ... + 12062813.

It is an arithmetic number, because the mean of its divisors is an integer number (1584140548).

Almost surely, 2^125724595200 is an apocalyptic number.

125724595200 is a gapful number since it is divisible by the number (10) 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 125724595200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209106552336).

125724595200 is an abundant number, since it is smaller than the sum of its proper divisors (292488509472).

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

125724595200 is a wasteful number, since it uses less digits than its factorization.

125724595200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10617 (or 10594 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 125724595200 in words is "one hundred twenty-five billion, seven hundred twenty-four million, five hundred ninety-five thousand, two hundred".