111120120 has 128 divisors (see below), whose sum is σ = 382464000. Its totient is φ = 28667520.

The previous prime is 111120091. The next prime is 111120133. The reversal of 111120120 is 21021111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31821 + ... + 35139.

It is an arithmetic number, because the mean of its divisors is an integer number (2988000).

Almost surely, 2^111120120 is an apocalyptic number.

111120120 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 111120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191232000).

111120120 is an abundant number, since it is smaller than the sum of its proper divisors (271343880).

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

111120120 is a wasteful number, since it uses less digits than its factorization.

111120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 111120120 is about 10541.3528543541. The cubic root of 111120120 is about 480.7628494841.

Adding to 111120120 its reverse (21021111), we get a palindrome (132141231).

Subtracting from 111120120 its reverse (21021111), we obtain a palindrome (90099009).

The spelling of 111120120 in words is "one hundred eleven million, one hundred twenty thousand, one hundred twenty".