231125091120 has 1920 divisors, whose sum is σ = 1079764224000. Its totient is φ = 44341862400.

The previous prime is 231125091097. The next prime is 231125091137. The reversal of 231125091120 is 21190521132.

231125091120 is a `hidden beast` number, since 2 + 31 + 1 + 2 + 509 + 1 + 120 = 666.

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 383 ways as a sum of consecutive naturals, for example, 2120413626 + ... + 2120413734.

It is an arithmetic number, because the mean of its divisors is an integer number (562377200).

Almost surely, 2^231125091120 is an apocalyptic number.

231125091120 is a gapful number since it is divisible by the number (20) 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 231125091120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539882112000).

231125091120 is an abundant number, since it is smaller than the sum of its proper divisors (848639132880).

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

231125091120 is a wasteful number, since it uses less digits than its factorization.

231125091120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 231125091120 in words is "two hundred thirty-one billion, one hundred twenty-five million, ninety-one thousand, one hundred twenty".