112268520 has 384 divisors, whose sum is σ = 471744000. Its totient is φ = 22505472.

The previous prime is 112268509. The next prime is 112268521. The reversal of 112268520 is 25862211.

It is a happy number.

112268520 is a `hidden beast` number, since 112 + 26 + 8 + 520 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112268521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 753406 + ... + 753554.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 2^112268520 is an apocalyptic number.

112268520 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 112268520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

112268520 is an abundant number, since it is smaller than the sum of its proper divisors (359475480).

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

112268520 is a wasteful number, since it uses less digits than its factorization.

112268520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 112268520 is about 10595.6840269989. The cubic root of 112268520 is about 482.4133664605.

The spelling of 112268520 in words is "one hundred twelve million, two hundred sixty-eight thousand, five hundred twenty".