112943291076000 has 4608 divisors, whose sum is σ = 538473132288000. Its totient is φ = 22190837760000.

The previous prime is 112943291075981. The next prime is 112943291076047. The reversal of 112943291076000 is 670192349211.

112943291076000 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 4 + 3 + 29 + 10 + 7 + 600 + 0 = 666.

It is a super-2 number, since 2×112943291076000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 208767635730 + ... + 208767636270.

It is an arithmetic number, because the mean of its divisors is an integer number (116856148500).

Almost surely, 2^{112943291076000} is an apocalyptic number.

112943291076000 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 112943291076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269236566144000).

112943291076000 is an abundant number, since it is smaller than the sum of its proper divisors (425529841212000).

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

112943291076000 is a wasteful number, since it uses less digits than its factorization.

112943291076000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 112943291076000 in words is "one hundred twelve trillion, nine hundred forty-three billion, two hundred ninety-one million, seventy-six thousand".