112378795200 has 504 divisors, whose sum is σ = 476554952400. Its totient is φ = 25686097920.

The previous prime is 112378795187. The next prime is 112378795219. The reversal of 112378795200 is 2597873211.

112378795200 is a `hidden beast` number, since 1 + 1 + 2 + 378 + 79 + 5 + 200 = 666.

112378795200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×112378795200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2090256 + ... + 2143344.

Almost surely, 2^112378795200 is an apocalyptic number.

112378795200 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 112378795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238277476200).

112378795200 is an abundant number, since it is smaller than the sum of its proper divisors (364176157200).

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

112378795200 is a wasteful number, since it uses less digits than its factorization.

112378795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53134 (or 53106 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 112378795200 in words is "one hundred twelve billion, three hundred seventy-eight million, seven hundred ninety-five thousand, two hundred".