112607647206912 has 3840 divisors, whose sum is σ = 436888517345280. Its totient is φ = 28443289190400.

The previous prime is 112607647206829. The next prime is 112607647206953. The reversal of 112607647206912 is 219602746706211.

112607647206912 is a `hidden beast` number, since 1 + 1 + 2 + 607 + 6 + 4 + 7 + 20 + 6 + 9 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 886674387393 + ... + 886674387519.

It is an arithmetic number, because the mean of its divisors is an integer number (113773051392).

Almost surely, 2^{112607647206912} is an apocalyptic number.

112607647206912 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 112607647206912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218444258672640).

112607647206912 is an abundant number, since it is smaller than the sum of its proper divisors (324280870138368).

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

112607647206912 is a wasteful number, since it uses less digits than its factorization.

112607647206912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 112607647206912 in words is "one hundred twelve trillion, six hundred seven billion, six hundred forty-seven million, two hundred six thousand, nine hundred twelve".