125238381120 has 224 divisors, whose sum is σ = 445945564800. Its totient is φ = 33084536832.

The previous prime is 125238381089. The next prime is 125238381137. The reversal of 125238381120 is 21183832521.

125238381120 is a `hidden beast` number, since 1 + 2 + 523 + 8 + 3 + 8 + 1 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 856746 + ... + 992214.

Almost surely, 2^125238381120 is an apocalyptic number.

125238381120 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 125238381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222972782400).

125238381120 is an abundant number, since it is smaller than the sum of its proper divisors (320707183680).

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

125238381120 is a wasteful number, since it uses less digits than its factorization.

125238381120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135602 (or 135586 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 125238381120 in words is "one hundred twenty-five billion, two hundred thirty-eight million, three hundred eighty-one thousand, one hundred twenty".