112913439120 has 480 divisors, whose sum is σ = 397521057024. Its totient is φ = 28698624000.

The previous prime is 112913439113. The next prime is 112913439151. The reversal of 112913439120 is 21934319211.

It is a happy number.

112913439120 is a `hidden beast` number, since 1 + 1 + 291 + 343 + 9 + 1 + 20 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 325398787 + ... + 325399133.

Almost surely, 2^112913439120 is an apocalyptic number.

112913439120 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 112913439120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198760528512).

112913439120 is an abundant number, since it is smaller than the sum of its proper divisors (284607617904).

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

112913439120 is a wasteful number, since it uses less digits than its factorization.

112913439120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 112913439120 in words is "one hundred twelve billion, nine hundred thirteen million, four hundred thirty-nine thousand, one hundred twenty".