12320144 has 40 divisors (see below), whose sum is σ = 25117440. Its totient is φ = 5846400.

The previous prime is 12320141. The next prime is 12320159. The reversal of 12320144 is 44102321.

It is not an unprimeable number, because it can be changed into a prime (12320141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29054 + ... + 29474.

It is an arithmetic number, because the mean of its divisors is an integer number (627936).

Almost surely, 2^12320144 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 12320144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12558720).

12320144 is an abundant number, since it is smaller than the sum of its proper divisors (12797296).

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

12320144 is a wasteful number, since it uses less digits than its factorization.

12320144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 12320144 is about 3510.0062678007. The cubic root of 12320144 is about 230.9609698992.

Adding to 12320144 its reverse (44102321), we get a palindrome (56422465).

The spelling of 12320144 in words is "twelve million, three hundred twenty thousand, one hundred forty-four".