12696 has 24 divisors (see below), whose sum is σ = 33180. Its totient is φ = 4048.

The previous prime is 12689. The next prime is 12697. The reversal of 12696 is 69621.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×12696² = 322376832, which contains 22 as substring.

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

It is a plaindrome in base 14.

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12697) by changing a digit.

12696 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 541 + ... + 563.

2¹²⁶⁹⁶ 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 12696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16590).

12696 is an abundant number, since it is smaller than the sum of its proper divisors (20484).

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

12696 is a wasteful number, since it uses less digits than its factorization.

12696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 28 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 12696 is about 112.6765281680. The cubic root of 12696 is about 23.3286158263.

Adding to 12696 its sum of digits (24), we get a triangular number (12720 = T₁₅₉).

Multiplying 12696 by its sum of digits (24), we get a square (304704 = 552²).

12696 divided by its sum of digits (24) gives a square (529 = 23²).

It can be divided in two parts, 1269 and 6, that added together give a triangular number (1275 = T₅₀).

The spelling of 12696 in words is "twelve thousand, six hundred ninety-six".