12992 has 28 divisors (see below), whose sum is σ = 30480. Its totient is φ = 5376.

The previous prime is 12983. The next prime is 13001. The reversal of 12992 is 29921.

12992 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (12983) and next prime (13001).

It is a tau number, because it is divible by the number of its divisors (28).

It is a fibodiv number, since the Fibonacci-like sequence with seeds 12 and 992 contains 12992 itself.

It is a nialpdrome in base 11.

It is an unprimeable number.

12992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 434 + ... + 462.

2¹²⁹⁹² 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 12992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240).

12992 is an abundant number, since it is smaller than the sum of its proper divisors (17488).

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

12992 is an equidigital number, since it uses as much as digits as its factorization.

12992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 38 counting only the distinct ones).

The product of its digits is 324, while the sum is 23.

The square root of 12992 is about 113.9824547902. The cubic root of 12992 is about 23.5085226368.

The spelling of 12992 in words is "twelve thousand, nine hundred ninety-two".