12816 has 30 divisors (see below), whose sum is σ = 36270. Its totient is φ = 4224.

The previous prime is 12809. The next prime is 12821. The reversal of 12816 is 61821.

12816 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 9216 + 3600 = 96^2 + 60^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a plaindrome in base 13.

It is a nialpdrome in base 12 and base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12816.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100 + ... + 188.

It is an arithmetic number, because the mean of its divisors is an integer number (1209).

2¹²⁸¹⁶ is an apocalyptic number.

12816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18135).

12816 is an abundant number, since it is smaller than the sum of its proper divisors (23454).

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

12816 is a wasteful number, since it uses less digits than its factorization.

12816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 94 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 12816 is about 113.2077735847. The cubic root of 12816 is about 23.4018845732.

Subtracting from 12816 its product of digits (96), we obtain a triangular number (12720 = T₁₅₉).

It can be divided in two parts, 128 and 16, that multiplied together give a 11-th power (2048 = 2¹¹).

The spelling of 12816 in words is "twelve thousand, eight hundred sixteen".