111444120 has 128 divisors (see below), whose sum is σ = 391104000. Its totient is φ = 28149120.

The previous prime is 111444077. The next prime is 111444121. The reversal of 111444120 is 21444111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111444093 and 111444102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111444121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17805 + ... + 23235.

It is an arithmetic number, because the mean of its divisors is an integer number (3055500).

Almost surely, 2^111444120 is an apocalyptic number.

111444120 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 111444120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195552000).

111444120 is an abundant number, since it is smaller than the sum of its proper divisors (279659880).

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

111444120 is a wasteful number, since it uses less digits than its factorization.

111444120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470 (or 5460 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 111444120 is about 10556.7097146791. The cubic root of 111444120 is about 481.2296596789.

Adding to 111444120 its reverse (21444111), we get a palindrome (132888231).

Subtracting from 111444120 its reverse (21444111), we obtain a palindrome (90000009).

The spelling of 111444120 in words is "one hundred eleven million, four hundred forty-four thousand, one hundred twenty".