112206570492132 has 288 divisors, whose sum is σ = 302038876339200. Its totient is φ = 36403840513152.

The previous prime is 112206570492109. The next prime is 112206570492223. The reversal of 112206570492132 is 231294075602211.

112206570492132 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 0 + 6 + 570 + 49 + 2 + 1 + 32 = 666.

112206570492132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37166798919 + ... + 37166801937.

It is an arithmetic number, because the mean of its divisors is an integer number (1048746098400).

Almost surely, 2^{112206570492132} is an apocalyptic number.

112206570492132 is a gapful number since it is divisible by the number (12) 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 112206570492132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151019438169600).

112206570492132 is an abundant number, since it is smaller than the sum of its proper divisors (189832305847068).

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

112206570492132 is a wasteful number, since it uses less digits than its factorization.

112206570492132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5917 (or 5903 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 112206570492132 in words is "one hundred twelve trillion, two hundred six billion, five hundred seventy million, four hundred ninety-two thousand, one hundred thirty-two".