113239004379120 has 480 divisors, whose sum is σ = 386155120276224. Its totient is φ = 29736220262400.

The previous prime is 113239004379097. The next prime is 113239004379131. The reversal of 113239004379120 is 21973400932311.

113239004379120 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 3 + 90 + 0 + 437 + 9 + 120 = 666.

It is a super-2 number, since 2×113239004379120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 6228416430 + ... + 6228434610.

Almost surely, 2^{113239004379120} is an apocalyptic number.

113239004379120 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 113239004379120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193077560138112).

113239004379120 is an abundant number, since it is smaller than the sum of its proper divisors (272916115897104).

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

113239004379120 is a wasteful number, since it uses less digits than its factorization.

113239004379120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18841 (or 18832 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 113239004379120 in words is "one hundred thirteen trillion, two hundred thirty-nine billion, four million, three hundred seventy-nine thousand, one hundred twenty".