112242120 has 96 divisors (see below), whose sum is σ = 355518720. Its totient is φ = 28344960.

The previous prime is 112242107. The next prime is 112242149. The reversal of 112242120 is 21242211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112242120.

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 23 ways as a sum of consecutive naturals, for example, 42025 + ... + 44615.

It is an arithmetic number, because the mean of its divisors is an integer number (3703320).

Almost surely, 2^112242120 is an apocalyptic number.

112242120 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 112242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177759360).

112242120 is an abundant number, since it is smaller than the sum of its proper divisors (243276600).

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

112242120 is a wasteful number, since it uses less digits than its factorization.

112242120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 112242120 is about 10594.4381634894. The cubic root of 112242120 is about 482.3755502461.

Adding to 112242120 its reverse (21242211), we get a palindrome (133484331).

Subtracting from 112242120 its reverse (21242211), we obtain a palindrome (90999909).

The spelling of 112242120 in words is "one hundred twelve million, two hundred forty-two thousand, one hundred twenty".