112269920 has 96 divisors (see below), whose sum is σ = 308448000. Its totient is φ = 37817856.

The previous prime is 112269919. The next prime is 112269961. The reversal of 112269920 is 29962211.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65231 + ... + 66929.

It is an arithmetic number, because the mean of its divisors is an integer number (3213000).

Almost surely, 2^112269920 is an apocalyptic number.

112269920 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 112269920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154224000).

112269920 is an abundant number, since it is smaller than the sum of its proper divisors (196178080).

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

112269920 is a wasteful number, since it uses less digits than its factorization.

112269920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 112269920 is about 10595.7500914282. The cubic root of 112269920 is about 482.4153717003.

The spelling of 112269920 in words is "one hundred twelve million, two hundred sixty-nine thousand, nine hundred twenty".