112112120 has 64 divisors (see below), whose sum is σ = 271779840. Its totient is φ = 41500800.

The previous prime is 112112111. The next prime is 112112123. The reversal of 112112120 is 21211211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112112123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26555 + ... + 30485.

It is an arithmetic number, because the mean of its divisors is an integer number (4246560).

Almost surely, 2^112112120 is an apocalyptic number.

112112120 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 112112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135889920).

112112120 is an abundant number, since it is smaller than the sum of its proper divisors (159667720).

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

112112120 is a wasteful number, since it uses less digits than its factorization.

112112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3996 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 112112120 is about 10588.3010912988. The cubic root of 112112120 is about 482.1892474953.

Adding to 112112120 its reverse (21211211), we get a palindrome (133323331).

Subtracting from 112112120 its reverse (21211211), we obtain a palindrome (90900909).

It can be divided in two parts, 11211 and 2120, that added together give a palindrome (13331).

The spelling of 112112120 in words is "one hundred twelve million, one hundred twelve thousand, one hundred twenty".