112216961291292 has 144 divisors (see below), whose sum is σ = 335294853199488. Its totient is φ = 31196786808960.

The previous prime is 112216961291273. The next prime is 112216961291317. The reversal of 112216961291292 is 292192169612211.

112216961291292 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 1 + 6 + 9 + 61 + 291 + 292 = 666.

112216961291292 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66026418 + ... + 67704665.

It is an arithmetic number, because the mean of its divisors is an integer number (2328436480552).

Almost surely, 2^{112216961291292} is an apocalyptic number.

112216961291292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112216961291292 is an abundant number, since it is smaller than the sum of its proper divisors (223077891908196).

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

112216961291292 is a wasteful number, since it uses less digits than its factorization.

112216961291292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133731280 (or 133731275 counting only the distinct ones).

The product of its digits is 839808, while the sum is 54.

The spelling of 112216961291292 in words is "one hundred twelve trillion, two hundred sixteen billion, nine hundred sixty-one million, two hundred ninety-one thousand, two hundred ninety-two".