112291470720 has 1024 divisors, whose sum is σ = 483646464000. Its totient is φ = 24246190080.

The previous prime is 112291470649. The next prime is 112291470769. The reversal of 112291470720 is 27074192211.

112291470720 is a `hidden beast` number, since 11 + 22 + 91 + 470 + 72 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71659377 + ... + 71660943.

It is an arithmetic number, because the mean of its divisors is an integer number (472311000).

Almost surely, 2^112291470720 is an apocalyptic number.

112291470720 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 112291470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241823232000).

112291470720 is an abundant number, since it is smaller than the sum of its proper divisors (371354993280).

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

112291470720 is a wasteful number, since it uses less digits than its factorization.

112291470720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 112291470720 in words is "one hundred twelve billion, two hundred ninety-one million, four hundred seventy thousand, seven hundred twenty".