112427694720 has 768 divisors, whose sum is σ = 445434163200. Its totient is φ = 25864396800.

The previous prime is 112427694683. The next prime is 112427694749. The reversal of 112427694720 is 27496724211.

112427694720 is a `hidden beast` number, since 112 + 4 + 2 + 7 + 69 + 472 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 260852905 + ... + 260853335.

It is an arithmetic number, because the mean of its divisors is an integer number (579992400).

Almost surely, 2^112427694720 is an apocalyptic number.

112427694720 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 112427694720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222717081600).

112427694720 is an abundant number, since it is smaller than the sum of its proper divisors (333006468480).

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

112427694720 is a wasteful number, since it uses less digits than its factorization.

112427694720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 112427694720 in words is "one hundred twelve billion, four hundred twenty-seven million, six hundred ninety-four thousand, seven hundred twenty".