112255228800 has 1152 divisors, whose sum is σ = 477122274720. Its totient is φ = 24772608000.

The previous prime is 112255228763. The next prime is 112255228807. The reversal of 112255228800 is 8822552211.

112255228800 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 552 + 28 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112255228807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 399484660 + ... + 399484940.

Almost surely, 2^112255228800 is an apocalyptic number.

112255228800 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 112255228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238561137360).

112255228800 is an abundant number, since it is smaller than the sum of its proper divisors (364867045920).

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

112255228800 is a wasteful number, since it uses less digits than its factorization.

112255228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 112255228800 in words is "one hundred twelve billion, two hundred fifty-five million, two hundred twenty-eight thousand, eight hundred".