12920 has 32 divisors (see below), whose sum is σ = 32400. Its totient is φ = 4608.

The previous prime is 12919. The next prime is 12923. The reversal of 12920 is 2921.

12920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

12920 is an undulating number in base 13.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 12895 and 12904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 671 + ... + 689.

2¹²⁹²⁰ is an apocalyptic number.

12920 is a gapful number since it is divisible by the number (10) 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 12920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16200).

12920 is an abundant number, since it is smaller than the sum of its proper divisors (19480).

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

12920 is a wasteful number, since it uses less digits than its factorization.

12920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 12920 is about 113.6661779071. Note that the first 3 decimals coincide. The cubic root of 12920 is about 23.4650150927.

Subtracting from 12920 its reverse (2921), we obtain a palindrome (9999).

The spelling of 12920 in words is "twelve thousand, nine hundred twenty".