113005788120 has 128 divisors (see below), whose sum is σ = 376850880000. Its totient is φ = 30121683840.

The previous prime is 113005788113. The next prime is 113005788157. The reversal of 113005788120 is 21887500311.

113005788120 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 0 + 578 + 81 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2582181 + ... + 2625579.

It is an arithmetic number, because the mean of its divisors is an integer number (2944147500).

Almost surely, 2^113005788120 is an apocalyptic number.

113005788120 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 113005788120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188425440000).

113005788120 is an abundant number, since it is smaller than the sum of its proper divisors (263845091880).

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

113005788120 is a wasteful number, since it uses less digits than its factorization.

113005788120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45830 (or 45820 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 113005788120 in words is "one hundred thirteen billion, five million, seven hundred eighty-eight thousand, one hundred twenty".