112078157688000 has 672 divisors, whose sum is σ = 460163849109120. Its totient is φ = 25507889971200.

The previous prime is 112078157687933. The next prime is 112078157688083. The reversal of 112078157688000 is 886751870211.

It is a tau number, because it is divible by the number of its divisors (672).

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, 116954796 + ... + 117909204.

Almost surely, 2^{112078157688000} is an apocalyptic number.

112078157688000 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 112078157688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230081924554560).

112078157688000 is an abundant number, since it is smaller than the sum of its proper divisors (348085691421120).

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

112078157688000 is a wasteful number, since it uses less digits than its factorization.

112078157688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954682 (or 954659 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 54.

The spelling of 112078157688000 in words is "one hundred twelve trillion, seventy-eight billion, one hundred fifty-seven million, six hundred eighty-eight thousand".