112116664400 has 120 divisors (see below), whose sum is σ = 292296437664. Its totient is φ = 41080665600.

The previous prime is 112116664393. The next prime is 112116664447. The reversal of 112116664400 is 4466611211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598907 + ... + 763493.

Almost surely, 2^112116664400 is an apocalyptic number.

112116664400 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 112116664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146148218832).

112116664400 is an abundant number, since it is smaller than the sum of its proper divisors (180179773264).

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

112116664400 is a wasteful number, since it uses less digits than its factorization.

112116664400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164749 (or 164738 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 112116664400 in words is "one hundred twelve billion, one hundred sixteen million, six hundred sixty-four thousand, four hundred".