112962886560000 has 1215 divisors, whose sum is σ = 433175100661303. Its totient is φ = 28297052160000.

The previous prime is 112962886559987. The next prime is 112962886560023. The reversal of 112962886560000 is 65688269211.

The square root of 112962886560000 is 10628400.

It is a perfect power (a square), and thus also a powerful number.

112962886560000 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 6 + 28 + 8 + 6 + 5 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 108116407593216 + 4846478966784 = 10397904^2 + 2201472^2 .

It is a super-2 number, since 2×112962886560000² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

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 134 ways as a sum of consecutive naturals, for example, 216819359740 + ... + 216819360260.

Almost surely, 2^{112962886560000} is an apocalyptic number.

112962886560000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112962886560000 is the 10628400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112962886560000

112962886560000 is an abundant number, since it is smaller than the sum of its proper divisors (320212214101303).

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

112962886560000 is an frugal number, since it uses more digits than its factorization.

112962886560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 112962886560000 in words is "one hundred twelve trillion, nine hundred sixty-two billion, eight hundred eighty-six million, five hundred sixty thousand".