112899127207680 has 3456 divisors, whose sum is σ = 485190809026560. Its totient is φ = 25038371635200.

The previous prime is 112899127207667. The next prime is 112899127207693. The reversal of 112899127207680 is 86702721998211.

112899127207680 is a `hidden beast` number, since 1 + 1 + 289 + 9 + 1 + 272 + 0 + 7 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (112899127207667) and next prime (112899127207693).

It is a tau number, because it is divible by the number of its divisors (3456).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 243842607129 + ... + 243842607591.

Almost surely, 2^{112899127207680} is an apocalyptic number.

112899127207680 is a gapful number since it is divisible by the number (10) 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 112899127207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242595404513280).

112899127207680 is an abundant number, since it is smaller than the sum of its proper divisors (372291681818880).

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

112899127207680 is an equidigital number, since it uses as much as digits as its factorization.

112899127207680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

The spelling of 112899127207680 in words is "one hundred twelve trillion, eight hundred ninety-nine billion, one hundred twenty-seven million, two hundred seven thousand, six hundred eighty".