112690252711872 has 672 divisors, whose sum is σ = 402744878714880. Its totient is φ = 29682335907840.

The previous prime is 112690252711847. The next prime is 112690252711921. The reversal of 112690252711872 is 278117252096211.

112690252711872 is a `hidden beast` number, since 1 + 1 + 26 + 9 + 0 + 2 + 527 + 11 + 87 + 2 = 666.

It is a congruent number.

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, 71059633 + ... + 72628175.

Almost surely, 2^{112690252711872} is an apocalyptic number.

112690252711872 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 112690252711872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201372439357440).

112690252711872 is an abundant number, since it is smaller than the sum of its proper divisors (290054626003008).

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

112690252711872 is a wasteful number, since it uses less digits than its factorization.

112690252711872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568641 (or 1568628 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 112690252711872 in words is "one hundred twelve trillion, six hundred ninety billion, two hundred fifty-two million, seven hundred eleven thousand, eight hundred seventy-two".