112721613120 has 448 divisors, whose sum is σ = 419951001600. Its totient is φ = 28384266240.

The previous prime is 112721613113. The next prime is 112721613143. The reversal of 112721613120 is 21316127211.

112721613120 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 21 + 613 + 1 + 20 = 666.

It is a super-2 number, since 2×112721613120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60245785 + ... + 60247655.

Almost surely, 2^112721613120 is an apocalyptic number.

112721613120 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 112721613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209975500800).

112721613120 is an abundant number, since it is smaller than the sum of its proper divisors (307229388480).

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

112721613120 is a wasteful number, since it uses less digits than its factorization.

112721613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 112721613120 in words is "one hundred twelve billion, seven hundred twenty-one million, six hundred thirteen thousand, one hundred twenty".