111131424 has 72 divisors (see below), whose sum is σ = 324602460. Its totient is φ = 36039168.

The previous prime is 111131369. The next prime is 111131429. The reversal of 111131424 is 424131111.

111131424 is a `hidden beast` number, since 111 + 131 + 424 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78641424 + 32490000 = 8868^2 + 5700^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

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 junction number, because it is equal to n+sod(n) for n = 111131397 and 111131406.

It is not an unprimeable number, because it can be changed into a prime (111131429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5442 + ... + 15870.

Almost surely, 2^111131424 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 111131424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162301230).

111131424 is an abundant number, since it is smaller than the sum of its proper divisors (213471036).

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

111131424 is a wasteful number, since it uses less digits than its factorization.

111131424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10482 (or 10471 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 111131424 is about 10541.8890147829. The cubic root of 111131424 is about 480.7791512393.

Adding to 111131424 its reverse (424131111), we get a palindrome (535262535).

The spelling of 111131424 in words is "one hundred eleven million, one hundred thirty-one thousand, four hundred twenty-four".