112264920 has 128 divisors (see below), whose sum is σ = 393984000. Its totient is φ = 28356480.

The previous prime is 112264913. The next prime is 112264921. The reversal of 112264920 is 29462211.

112264920 is a `hidden beast` number, since 1 + 12 + 2 + 649 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112264921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17785 + ... + 23255.

It is an arithmetic number, because the mean of its divisors is an integer number (3078000).

Almost surely, 2^112264920 is an apocalyptic number.

112264920 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 112264920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196992000).

112264920 is an abundant number, since it is smaller than the sum of its proper divisors (281719080).

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

112264920 is a wasteful number, since it uses less digits than its factorization.

112264920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5510 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 112264920 is about 10595.5141451465. The cubic root of 112264920 is about 482.4082100531.

The spelling of 112264920 in words is "one hundred twelve million, two hundred sixty-four thousand, nine hundred twenty".