12816144 has 200 divisors, whose sum is σ = 43211520. Its totient is φ = 3628800.

The previous prime is 12816143. The next prime is 12816163. The reversal of 12816144 is 44161821.

It is a happy number.

It is a super-3 number, since 3×12816144³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12816143) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 413409 + ... + 413439.

Almost surely, 2^12816144 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 12816144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21605760).

12816144 is an abundant number, since it is smaller than the sum of its proper divisors (30395376).

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

12816144 is a wasteful number, since it uses less digits than its factorization.

12816144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 76 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 12816144 is about 3579.9642456315. The cubic root of 12816144 is about 234.0197222036.

Adding to 12816144 its reverse (44161821), we get a palindrome (56977965).

The spelling of 12816144 in words is "twelve million, eight hundred sixteen thousand, one hundred forty-four".