111141120 has 144 divisors (see below), whose sum is σ = 359678592. Its totient is φ = 29245440.

The previous prime is 111141109. The next prime is 111141139. The reversal of 111141120 is 21141111.

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 = 111141096 and 111141105.

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, 395380 + ... + 395660.

It is an arithmetic number, because the mean of its divisors is an integer number (2497768).

Almost surely, 2^111141120 is an apocalyptic number.

111141120 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 111141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179839296).

111141120 is an abundant number, since it is smaller than the sum of its proper divisors (248537472).

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

111141120 is a wasteful number, since it uses less digits than its factorization.

111141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 111141120 is about 10542.3488843806. The cubic root of 111141120 is about 480.7931331804.

Adding to 111141120 its reverse (21141111), we get a palindrome (132282231).

Subtracting from 111141120 its reverse (21141111), we obtain a palindrome (90000009).

The spelling of 111141120 in words is "one hundred eleven million, one hundred forty-one thousand, one hundred twenty".