112882176072 has 96 divisors (see below), whose sum is σ = 317409499680. Its totient is φ = 37584207360.

The previous prime is 112882176019. The next prime is 112882176091. The reversal of 112882176072 is 270671288211.

112882176072 is a `hidden beast` number, since 1 + 1 + 28 + 8 + 2 + 17 + 607 + 2 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1683672 + ... + 1749432.

It is an arithmetic number, because the mean of its divisors is an integer number (3306348955).

Almost surely, 2^112882176072 is an apocalyptic number.

112882176072 is a gapful number since it is divisible by the number (12) 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 112882176072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158704749840).

112882176072 is an abundant number, since it is smaller than the sum of its proper divisors (204527323608).

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

112882176072 is an equidigital number, since it uses as much as digits as its factorization.

112882176072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66665 (or 66649 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 112882176072 in words is "one hundred twelve billion, eight hundred eighty-two million, one hundred seventy-six thousand, seventy-two".