112299264000 has 1536 divisors, whose sum is σ = 520050585600. Its totient is φ = 23224320000.

The previous prime is 112299263959. The next prime is 112299264019. The reversal of 112299264000 is 462992211.

112299264000 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 9 + 9 + 2 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×112299264000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 532223895 + ... + 532224105.

It is an arithmetic number, because the mean of its divisors is an integer number (338574600).

Almost surely, 2^112299264000 is an apocalyptic number.

112299264000 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 112299264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260025292800).

112299264000 is an abundant number, since it is smaller than the sum of its proper divisors (407751321600).

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

112299264000 is a wasteful number, since it uses less digits than its factorization.

112299264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 112299264000 in words is "one hundred twelve billion, two hundred ninety-nine million, two hundred sixty-four thousand".