12690144 has 72 divisors (see below), whose sum is σ = 36461880. Its totient is φ = 4186368.

The previous prime is 12690121. The next prime is 12690151. The reversal of 12690144 is 44109621.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×12690144² = 322079509481472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39874 + ... + 40190.

It is an arithmetic number, because the mean of its divisors is an integer number (506415).

Almost surely, 2^12690144 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 12690144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18230940).

12690144 is an abundant number, since it is smaller than the sum of its proper divisors (23771736).

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

12690144 is a wasteful number, since it uses less digits than its factorization.

12690144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12690144 is about 3562.3228377001. The cubic root of 12690144 is about 233.2502851842.

Adding to 12690144 its reverse (44109621), we get a palindrome (56799765).

The spelling of 12690144 in words is "twelve million, six hundred ninety thousand, one hundred forty-four".