112114822120704 has 1728 divisors, whose sum is σ = 401961488947200. Its totient is φ = 29690076856320.

The previous prime is 112114822120699. The next prime is 112114822120751. The reversal of 112114822120704 is 407021228411211.

112114822120704 is a `hidden beast` number, since 11 + 211 + 4 + 8 + 221 + 207 + 0 + 4 = 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 288212910142 + ... + 288212910530.

It is an arithmetic number, because the mean of its divisors is an integer number (232616602400).

Almost surely, 2^{112114822120704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112114822120704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200980744473600).

112114822120704 is an abundant number, since it is smaller than the sum of its proper divisors (289846666826496).

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

112114822120704 is a wasteful number, since it uses less digits than its factorization.

112114822120704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 112114822120704 in words is "one hundred twelve trillion, one hundred fourteen billion, eight hundred twenty-two million, one hundred twenty thousand, seven hundred four".