112072149665280 has 1920 divisors, whose sum is σ = 469555062552576. Its totient is φ = 24151169433600.

The previous prime is 112072149665249. The next prime is 112072149665293. The reversal of 112072149665280 is 82566941270211.

112072149665280 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 7 + 21 + 4 + 96 + 6 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 119098989610 + ... + 119098990550.

Almost surely, 2^{112072149665280} is an apocalyptic number.

112072149665280 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 112072149665280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234777531276288).

112072149665280 is an abundant number, since it is smaller than the sum of its proper divisors (357482912887296).

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

112072149665280 is a wasteful number, since it uses less digits than its factorization.

112072149665280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 112072149665280 in words is "one hundred twelve trillion, seventy-two billion, one hundred forty-nine million, six hundred sixty-five thousand, two hundred eighty".