12912 has 20 divisors (see below), whose sum is σ = 33480. Its totient is φ = 4288.

The previous prime is 12911. The next prime is 12917. The reversal of 12912 is 21921.

It is a happy number.

12912 is nontrivially palindromic in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 12891 and 12900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12911) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87 + ... + 182.

It is an arithmetic number, because the mean of its divisors is an integer number (1674).

2¹²⁹¹² is an apocalyptic number.

12912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12912 is an abundant number, since it is smaller than the sum of its proper divisors (20568).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16740).

12912 is a wasteful number, since it uses less digits than its factorization.

12912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 274 counting only the distinct ones).

The product of its digits is 36, while the sum is 15.

The square root of 12912 is about 113.6309816907. The cubic root of 12912 is about 23.4601709523.

Subtracting 12912 from its reverse (21921), we obtain a palindrome (9009).

It can be divided in two parts, 129 and 12, that added together give a palindrome (141).

The spelling of 12912 in words is "twelve thousand, nine hundred twelve".