112264992000 has 864 divisors, whose sum is σ = 465592458240. Its totient is φ = 25443532800.

The previous prime is 112264991999. The next prime is 112264992013. The reversal of 112264992000 is 299462211.

112264992000 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 649 + 9 + 2 + 0 + 0 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 469727881 + ... + 469728119.

It is an arithmetic number, because the mean of its divisors is an integer number (538880160).

Almost surely, 2^112264992000 is an apocalyptic number.

112264992000 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 112264992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232796229120).

112264992000 is an abundant number, since it is smaller than the sum of its proper divisors (353327466240).

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

112264992000 is a wasteful number, since it uses less digits than its factorization.

112264992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 489 counting only the distinct ones).

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

The spelling of 112264992000 in words is "one hundred twelve billion, two hundred sixty-four million, nine hundred ninety-two thousand".