125200010880 has 512 divisors, whose sum is σ = 518568652800. Its totient is φ = 27950469120.

The previous prime is 125200010879. The next prime is 125200010933. The reversal of 125200010880 is 88010002521.

125200010880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5189245 + ... + 5213315.

It is an arithmetic number, because the mean of its divisors is an integer number (1012829400).

Almost surely, 2^125200010880 is an apocalyptic number.

125200010880 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 125200010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259284326400).

125200010880 is an abundant number, since it is smaller than the sum of its proper divisors (393368641920).

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

125200010880 is a wasteful number, since it uses less digits than its factorization.

125200010880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24149 (or 24131 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 125200010880 in words is "one hundred twenty-five billion, two hundred million, ten thousand, eight hundred eighty".