112235536800 has 432 divisors, whose sum is σ = 419973869952. Its totient is φ = 28106956800.

The previous prime is 112235536769. The next prime is 112235536801. The reversal of 112235536800 is 8635532211.

112235536800 is a `hidden beast` number, since 1 + 1 + 2 + 23 + 553 + 6 + 80 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (112235536801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84577737 + ... + 84579063.

It is an arithmetic number, because the mean of its divisors is an integer number (972161736).

Almost surely, 2^112235536800 is an apocalyptic number.

112235536800 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 112235536800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986934976).

112235536800 is an abundant number, since it is smaller than the sum of its proper divisors (307738333152).

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

112235536800 is a wasteful number, since it uses less digits than its factorization.

112235536800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 112235536800 in words is "one hundred twelve billion, two hundred thirty-five million, five hundred thirty-six thousand, eight hundred".