112615206912 has 624 divisors, whose sum is σ = 387693528768. Its totient is φ = 31142707200.

The previous prime is 112615206887. The next prime is 112615206931. The reversal of 112615206912 is 219602516211.

112615206912 is a `hidden beast` number, since 1 + 1 + 2 + 61 + 520 + 69 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

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

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 47 ways as a sum of consecutive naturals, for example, 187379412 + ... + 187380012.

It is an arithmetic number, because the mean of its divisors is an integer number (621303732).

Almost surely, 2^112615206912 is an apocalyptic number.

112615206912 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 112615206912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193846764384).

112615206912 is an abundant number, since it is smaller than the sum of its proper divisors (275078321856).

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

112615206912 is a wasteful number, since it uses less digits than its factorization.

112615206912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 112615206912 in words is "one hundred twelve billion, six hundred fifteen million, two hundred six thousand, nine hundred twelve".