112115642112 has 216 divisors, whose sum is σ = 327354391728. Its totient is φ = 36900864000.

The previous prime is 112115642083. The next prime is 112115642179. The reversal of 112115642112 is 211246511211.

112115642112 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 1 + 5 + 642 + 1 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 86175862 + ... + 86177162.

Almost surely, 2^112115642112 is an apocalyptic number.

112115642112 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 112115642112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163677195864).

112115642112 is an abundant number, since it is smaller than the sum of its proper divisors (215238749616).

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

112115642112 is a wasteful number, since it uses less digits than its factorization.

112115642112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1750 counting only the distinct ones).

The product of its digits is 960, while the sum is 27.

The spelling of 112115642112 in words is "one hundred twelve billion, one hundred fifteen million, six hundred forty-two thousand, one hundred twelve".