125053672207200 has 432 divisors, whose sum is σ = 451762243365888. Its totient is φ = 30021704064000.

The previous prime is 125053672207187. The next prime is 125053672207223. The reversal of 125053672207200 is 2702276350521.

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, 27820785 + ... + 32001615.

Almost surely, 2^{125053672207200} is an apocalyptic number.

125053672207200 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 125053672207200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225881121682944).

125053672207200 is an abundant number, since it is smaller than the sum of its proper divisors (326708571158688).

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

125053672207200 is a wasteful number, since it uses less digits than its factorization.

125053672207200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180979 (or 4180955 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 125053672207200 in words is "one hundred twenty-five trillion, fifty-three billion, six hundred seventy-two million, two hundred seven thousand, two hundred".