112498920 has 96 divisors (see below), whose sum is σ = 368451720. Its totient is φ = 29767680.

The previous prime is 112498889. The next prime is 112498927. The reversal of 112498920 is 29894211.

It can be written as a sum of positive squares in 4 ways, for example, as 97891236 + 14607684 = 9894^2 + 3822^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (112498927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48180 + ... + 50460.

Almost surely, 2^112498920 is an apocalyptic number.

112498920 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 112498920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184225860).

112498920 is an abundant number, since it is smaller than the sum of its proper divisors (255952800).

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

112498920 is a wasteful number, since it uses less digits than its factorization.

112498920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 112498920 is about 10606.5508059878. The cubic root of 112498920 is about 482.7431475149.

The spelling of 112498920 in words is "one hundred twelve million, four hundred ninety-eight thousand, nine hundred twenty".