112195831951872 has 120 divisors (see below), whose sum is σ = 324300648841884. Its totient is φ = 37341337657344.

The previous prime is 112195831951859. The next prime is 112195831951877. The reversal of 112195831951872 is 278159138591211.

112195831951872 is a `hidden beast` number, since 1 + 1 + 2 + 19 + 5 + 8 + 31 + 9 + 518 + 72 = 666.

112195831951872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 105313898209536 + 6881933742336 = 10262256^2 + 2623344^2 .

It is not an unprimeable number, because it can be changed into a prime (112195831951877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15634203 + ... + 21652250.

Almost surely, 2^{112195831951872} is an apocalyptic number.

112195831951872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112195831951872 is an abundant number, since it is smaller than the sum of its proper divisors (212104816890012).

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

112195831951872 is an equidigital number, since it uses as much as digits as its factorization.

112195831951872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37287130 (or 37287111 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 63.

The spelling of 112195831951872 in words is "one hundred twelve trillion, one hundred ninety-five billion, eight hundred thirty-one million, nine hundred fifty-one thousand, eight hundred seventy-two".