113512389120 has 800 divisors, whose sum is σ = 463782222288. Its totient is φ = 26287276032.

The previous prime is 113512389091. The next prime is 113512389143. The reversal of 113512389120 is 21983215311.

113512389120 is a `hidden beast` number, since 1 + 1 + 3 + 512 + 38 + 91 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 43537326336 + 69975062784 = 208656^2 + 264528^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45825322 + ... + 45827798.

Almost surely, 2^113512389120 is an apocalyptic number.

113512389120 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 113512389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231891111144).

113512389120 is an abundant number, since it is smaller than the sum of its proper divisors (350269833168).

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

113512389120 is a wasteful number, since it uses less digits than its factorization.

113512389120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 113512389120 in words is "one hundred thirteen billion, five hundred twelve million, three hundred eighty-nine thousand, one hundred twenty".