112869120 has 576 divisors, whose sum is σ = 494484480. Its totient is φ = 21233664.

The previous prime is 112869083. The next prime is 112869143. The reversal of 112869120 is 21968211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5940471 + ... + 5940489.

It is an arithmetic number, because the mean of its divisors is an integer number (858480).

Almost surely, 2^112869120 is an apocalyptic number.

112869120 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 112869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247242240).

112869120 is an abundant number, since it is smaller than the sum of its proper divisors (381615360).

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

112869120 is a wasteful number, since it uses less digits than its factorization.

112869120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 112869120 is about 10623.9879518004. The cubic root of 112869120 is about 483.2720884216.

Subtracting from 112869120 its reverse (21968211), we obtain a palindrome (90900909).

The spelling of 112869120 in words is "one hundred twelve million, eight hundred sixty-nine thousand, one hundred twenty".