12294144 has 144 divisors (see below), whose sum is σ = 38329200. Its totient is φ = 3784704.

The previous prime is 12294143. The next prime is 12294151. The reversal of 12294144 is 44149221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12294144² = 302291953385472, which contains 22 as substring.

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 nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12294143) 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, 423922 + ... + 423950.

It is an arithmetic number, because the mean of its divisors is an integer number (266175).

Almost surely, 2^12294144 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 12294144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19164600).

12294144 is an abundant number, since it is smaller than the sum of its proper divisors (26035056).

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

12294144 is a wasteful number, since it uses less digits than its factorization.

12294144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 57 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 12294144 is about 3506.3006146079. The cubic root of 12294144 is about 230.7983848295.

The spelling of 12294144 in words is "twelve million, two hundred ninety-four thousand, one hundred forty-four".