112271956992 has 1056 divisors, whose sum is σ = 398662584320. Its totient is φ = 30098718720.

The previous prime is 112271956991. The next prime is 112271957009. The reversal of 112271956992 is 299659172211.

It is a happy number.

112271956992 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 71 + 9 + 569 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112271956991) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2610975723 + ... + 2610975765.

Almost surely, 2^112271956992 is an apocalyptic number.

112271956992 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 112271956992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199331292160).

112271956992 is an abundant number, since it is smaller than the sum of its proper divisors (286390627328).

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

112271956992 is a wasteful number, since it uses less digits than its factorization.

112271956992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 54.

It can be divided in two parts, 1122719 and 56992, that added together give a palindrome (1179711).

The spelling of 112271956992 in words is "one hundred twelve billion, two hundred seventy-one million, nine hundred fifty-six thousand, nine hundred ninety-two".