125238982202800 has 480 divisors, whose sum is σ = 319684841717760. Its totient is φ = 47079513600000.

The previous prime is 125238982202783. The next prime is 125238982202863. The reversal of 125238982202800 is 8202289832521.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31859316835 + ... + 31859320765.

It is an arithmetic number, because the mean of its divisors is an integer number (666010086912).

Almost surely, 2^{125238982202800} is an apocalyptic number.

125238982202800 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 125238982202800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159842420858880).

125238982202800 is an abundant number, since it is smaller than the sum of its proper divisors (194445859514960).

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

125238982202800 is a wasteful number, since it uses less digits than its factorization.

125238982202800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4533 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 52.

The spelling of 125238982202800 in words is "one hundred twenty-five trillion, two hundred thirty-eight billion, nine hundred eighty-two million, two hundred two thousand, eight hundred".