111121120 has 96 divisors (see below), whose sum is σ = 301553280. Its totient is φ = 38269440.

The previous prime is 111121117. The next prime is 111121121. The reversal of 111121120 is 21121111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 111121097 and 111121106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111121121) 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, 31779 + ... + 35101.

It is an arithmetic number, because the mean of its divisors is an integer number (3141180).

Almost surely, 2^111121120 is an apocalyptic number.

111121120 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 111121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150776640).

111121120 is an abundant number, since it is smaller than the sum of its proper divisors (190432160).

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

111121120 is a wasteful number, since it uses less digits than its factorization.

111121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 111121120 is about 10541.4002864895. The cubic root of 111121120 is about 480.7642916514.

Adding to 111121120 its reverse (21121111), we get a palindrome (132242231).

Subtracting from 111121120 its reverse (21121111), we obtain a palindrome (90000009).

The spelling of 111121120 in words is "one hundred eleven million, one hundred twenty-one thousand, one hundred twenty".