112009355712 has 280 divisors, whose sum is σ = 352746411600. Its totient is φ = 35043508224.

The previous prime is 112009355683. The next prime is 112009355779. The reversal of 112009355712 is 217553900211.

112009355712 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 0 + 93 + 557 + 12 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10730848 + ... + 10741280.

Almost surely, 2^112009355712 is an apocalyptic number.

112009355712 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 112009355712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176373205800).

112009355712 is an abundant number, since it is smaller than the sum of its proper divisors (240737055888).

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

112009355712 is a wasteful number, since it uses less digits than its factorization.

112009355712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10585 (or 10566 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 112009355712 in words is "one hundred twelve billion, nine million, three hundred fifty-five thousand, seven hundred twelve".