12144288 has 96 divisors (see below), whose sum is σ = 35392896. Its totient is φ = 3621888.

The previous prime is 12144263. The next prime is 12144289. The reversal of 12144288 is 88244121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144289) by changing a digit.

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, 46045 + ... + 46307.

It is an arithmetic number, because the mean of its divisors is an integer number (368676).

Almost surely, 2^12144288 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 12144288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17696448).

12144288 is an abundant number, since it is smaller than the sum of its proper divisors (23248608).

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

12144288 is a wasteful number, since it uses less digits than its factorization.

12144288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 318 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 12144288 is about 3484.8655641215. The cubic root of 12144288 is about 229.8567980671.

The spelling of 12144288 in words is "twelve million, one hundred forty-four thousand, two hundred eighty-eight".