111110120 has 64 divisors (see below), whose sum is σ = 276868800. Its totient is φ = 39790080.

The previous prime is 111110093. The next prime is 111110143. The reversal of 111110120 is 21011111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 111110098 and 111110107.

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 15 ways as a sum of consecutive naturals, for example, 27596 + ... + 31364.

It is an arithmetic number, because the mean of its divisors is an integer number (4326075).

Almost surely, 2^111110120 is an apocalyptic number.

111110120 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 111110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138434400).

111110120 is an abundant number, since it is smaller than the sum of its proper divisors (165758680).

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

111110120 is a wasteful number, since it uses less digits than its factorization.

111110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3858 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

The square root of 111110120 is about 10540.8785212619. The cubic root of 111110120 is about 480.7484273353.

Adding to 111110120 its reverse (21011111), we get a palindrome (132121231).

Subtracting from 111110120 its reverse (21011111), we obtain a palindrome (90099009).

The spelling of 111110120 in words is "one hundred eleven million, one hundred ten thousand, one hundred twenty".