111211144 has 64 divisors (see below), whose sum is σ = 244166400. Its totient is φ = 46924800.

The previous prime is 111211109. The next prime is 111211153. The reversal of 111211144 is 441112111.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117714 + ... + 118654.

It is an arithmetic number, because the mean of its divisors is an integer number (3815100).

Almost surely, 2^111211144 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 111211144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122083200).

111211144 is an abundant number, since it is smaller than the sum of its proper divisors (132955256).

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

111211144 is a wasteful number, since it uses less digits than its factorization.

111211144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1050 counting only the distinct ones).

The product of its digits is 32, while the sum is 16.

The square root of 111211144 is about 10545.6694429515. The cubic root of 111211144 is about 480.8940858858.

Adding to 111211144 its reverse (441112111), we get a palindrome (552323255).

The spelling of 111211144 in words is "one hundred eleven million, two hundred eleven thousand, one hundred forty-four".