111126144 has 128 divisors (see below), whose sum is σ = 323870400. Its totient is φ = 33603584.

The previous prime is 111126139. The next prime is 111126151. The reversal of 111126144 is 441621111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 111126144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189019 + ... + 189605.

Almost surely, 2^111126144 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 111126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161935200).

111126144 is an abundant number, since it is smaller than the sum of its proper divisors (212744256).

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

111126144 is a wasteful number, since it uses less digits than its factorization.

111126144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 638 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 111126144 is about 10541.6385823078. The cubic root of 111126144 is about 480.7715369690.

Adding to 111126144 its reverse (441621111), we get a palindrome (552747255).

The spelling of 111126144 in words is "one hundred eleven million, one hundred twenty-six thousand, one hundred forty-four".