111312120 has 64 divisors (see below), whose sum is σ = 335301120. Its totient is φ = 29561984.

The previous prime is 111312109. The next prime is 111312133. The reversal of 111312120 is 21213111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 111312096 and 111312105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29797 + ... + 33323.

It is an arithmetic number, because the mean of its divisors is an integer number (5239080).

Almost surely, 2^111312120 is an apocalyptic number.

111312120 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 111312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167650560).

111312120 is an abundant number, since it is smaller than the sum of its proper divisors (223989000).

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

111312120 is a wasteful number, since it uses less digits than its factorization.

111312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 111312120 is about 10550.4559143195. The cubic root of 111312120 is about 481.0395871078.

Adding to 111312120 its reverse (21213111), we get a palindrome (132525231).

Subtracting from 111312120 its reverse (21213111), we obtain a palindrome (90099009).

It can be divided in two parts, 11 and 1312120, that added together give a palindrome (1312131).

The spelling of 111312120 in words is "one hundred eleven million, three hundred twelve thousand, one hundred twenty".