11222144 has 32 divisors (see below), whose sum is σ = 22681740. Its totient is φ = 5529600.

The previous prime is 11222129. The next prime is 11222147. The reversal of 11222144 is 44122211.

It can be written as a sum of positive squares in 2 ways, for example, as 9985600 + 1236544 = 3160^2 + 1112^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 not an unprimeable number, because it can be changed into a prime (11222147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8744 + ... + 9944.

Almost surely, 2^11222144 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 11222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11340870).

11222144 is an abundant number, since it is smaller than the sum of its proper divisors (11459596).

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

11222144 is an equidigital number, since it uses as much as digits as its factorization.

11222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1276 counting only the distinct ones).

The product of its digits is 128, while the sum is 17.

The square root of 11222144 is about 3349.9468652503. The cubic root of 11222144 is about 223.8851452005.

Adding to 11222144 its reverse (44122211), we get a palindrome (55344355).

The spelling of 11222144 in words is "eleven million, two hundred twenty-two thousand, one hundred forty-four".