12987144 has 48 divisors (see below), whose sum is σ = 35762220. Its totient is φ = 4256640.

The previous prime is 12987137. The next prime is 12987151. The reversal of 12987144 is 44178921.

It is an interprime number because it is at equal distance from previous prime (12987137) and next prime (12987151).

It can be written as a sum of positive squares in 2 ways, for example, as 10304100 + 2683044 = 3210^2 + 1638^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12987099 and 12987108.

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, 2914 + ... + 5870.

Almost surely, 2^12987144 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 12987144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17881110).

12987144 is an abundant number, since it is smaller than the sum of its proper divisors (22775076).

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

12987144 is a wasteful number, since it uses less digits than its factorization.

12987144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 3023 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 12987144 is about 3603.7680280506. The cubic root of 12987144 is about 235.0559335699.

It can be divided in two parts, 12987 and 144, that added together give a palindrome (13131).

The spelling of 12987144 in words is "twelve million, nine hundred eighty-seven thousand, one hundred forty-four".