125040872332800 has 720 divisors, whose sum is σ = 457589995022160. Its totient is φ = 32597655552000.

The previous prime is 125040872332799. The next prime is 125040872332841. The reversal of 125040872332800 is 8233278040521.

125040872332800 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 408 + 7 + 233 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1230169980 + ... + 1230271620.

It is an arithmetic number, because the mean of its divisors is an integer number (635541659753).

Almost surely, 2^{125040872332800} is an apocalyptic number.

125040872332800 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 125040872332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228794997511080).

125040872332800 is an abundant number, since it is smaller than the sum of its proper divisors (332549122689360).

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

125040872332800 is a wasteful number, since it uses less digits than its factorization.

125040872332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101915 (or 101891 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 125040872332800 in words is "one hundred twenty-five trillion, forty billion, eight hundred seventy-two million, three hundred thirty-two thousand, eight hundred".