112929627168600 has 768 divisors, whose sum is σ = 387994941734400. Its totient is φ = 26944524288000.

The previous prime is 112929627168583. The next prime is 112929627168601. The reversal of 112929627168600 is 6861726929211.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112929627168601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 111480381694 + ... + 111480382706.

It is an arithmetic number, because the mean of its divisors is an integer number (505201747050).

Almost surely, 2^{112929627168600} is an apocalyptic number.

112929627168600 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 112929627168600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193997470867200).

112929627168600 is an abundant number, since it is smaller than the sum of its proper divisors (275065314565800).

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

112929627168600 is a wasteful number, since it uses less digits than its factorization.

112929627168600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The spelling of 112929627168600 in words is "one hundred twelve trillion, nine hundred twenty-nine billion, six hundred twenty-seven million, one hundred sixty-eight thousand, six hundred".