112760112960 has 840 divisors, whose sum is σ = 445632550440. Its totient is φ = 27043061760.

The previous prime is 112760112911. The next prime is 112760112967. The reversal of 112760112960 is 69211067211.

112760112960 is a `hidden beast` number, since 1 + 1 + 27 + 601 + 1 + 29 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23607707904 + 89152405056 = 153648^2 + 298584^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112760112967) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 492402126 + ... + 492402354.

It is an arithmetic number, because the mean of its divisors is an integer number (530514941).

Almost surely, 2^112760112960 is an apocalyptic number.

112760112960 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 112760112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222816275220).

112760112960 is an abundant number, since it is smaller than the sum of its proper divisors (332872437480).

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

112760112960 is a wasteful number, since it uses less digits than its factorization.

112760112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 112760112960 in words is "one hundred twelve billion, seven hundred sixty million, one hundred twelve thousand, nine hundred sixty".