112262920 has 192 divisors, whose sum is σ = 330946560. Its totient is φ = 33868800.

The previous prime is 112262903. The next prime is 112262923. The reversal of 112262920 is 29262211.

It is not an unprimeable number, because it can be changed into a prime (112262923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 883897 + ... + 884023.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 2^112262920 is an apocalyptic number.

112262920 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 112262920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

112262920 is an abundant number, since it is smaller than the sum of its proper divisors (218683640).

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

112262920 is a wasteful number, since it uses less digits than its factorization.

112262920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 112262920 is about 10595.4197651627. The cubic root of 112262920 is about 482.4053453347.

The spelling of 112262920 in words is "one hundred twelve million, two hundred sixty-two thousand, nine hundred twenty".