112356921600 has 1944 divisors, whose sum is σ = 525870508800. Its totient is φ = 22850150400.

The previous prime is 112356921587. The next prime is 112356921617. The reversal of 112356921600 is 6129653211.

112356921600 is a `hidden beast` number, since 1 + 1 + 23 + 5 + 6 + 9 + 21 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2390572777 + ... + 2390572823.

Almost surely, 2^112356921600 is an apocalyptic number.

112356921600 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 112356921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262935254400).

112356921600 is an abundant number, since it is smaller than the sum of its proper divisors (413513587200).

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

112356921600 is a wasteful number, since it uses less digits than its factorization.

112356921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 112356921600 in words is "one hundred twelve billion, three hundred fifty-six million, nine hundred twenty-one thousand, six hundred".