111242144 has 48 divisors (see below), whose sum is σ = 244014120. Its totient is φ = 49566720.

The previous prime is 111242141. The next prime is 111242213. The reversal of 111242144 is 441242111.

It can be written as a sum of positive squares in 4 ways, for example, as 99600400 + 11641744 = 9980^2 + 3412^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (111242141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7454 + ... + 16674.

Almost surely, 2^111242144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122007060).

111242144 is an abundant number, since it is smaller than the sum of its proper divisors (132771976).

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

111242144 is a wasteful number, since it uses less digits than its factorization.

111242144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9273 (or 9265 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 111242144 is about 10547.1391381739. The cubic root of 111242144 is about 480.9387646568.

Adding to 111242144 its reverse (441242111), we get a palindrome (552484255).

The spelling of 111242144 in words is "one hundred eleven million, two hundred forty-two thousand, one hundred forty-four".