11232144 has 120 divisors (see below), whose sum is σ = 39229632. Its totient is φ = 2914560.

The previous prime is 11232139. The next prime is 11232161. The reversal of 11232144 is 44123211.

It is a super-2 number, since 2×11232144² = 252322117673472, which contains 22 as substring.

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.

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 23 ways as a sum of consecutive naturals, for example, 10582 + ... + 11594.

Almost surely, 2^11232144 is an apocalyptic number.

11232144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11232144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19614816).

11232144 is an abundant number, since it is smaller than the sum of its proper divisors (27997488).

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

11232144 is a wasteful number, since it uses less digits than its factorization.

11232144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1036 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 11232144 is about 3351.4390938819. The cubic root of 11232144 is about 223.9516264591.

Adding to 11232144 its reverse (44123211), we get a palindrome (55355355).

The spelling of 11232144 in words is "eleven million, two hundred thirty-two thousand, one hundred forty-four".