12390144 has 144 divisors (see below), whose sum is σ = 38116512. Its totient is φ = 3538944.

The previous prime is 12390121. The next prime is 12390151. The reversal of 12390144 is 44109321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169692 + ... + 169764.

It is an arithmetic number, because the mean of its divisors is an integer number (264698).

Almost surely, 2^12390144 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 12390144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19058256).

12390144 is an abundant number, since it is smaller than the sum of its proper divisors (25726368).

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

12390144 is a wasteful number, since it uses less digits than its factorization.

12390144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 12390144 is about 3519.9636361758. The cubic root of 12390144 is about 231.3975650319.

Adding to 12390144 its reverse (44109321), we get a palindrome (56499465).

The spelling of 12390144 in words is "twelve million, three hundred ninety thousand, one hundred forty-four".