12820 has 12 divisors (see below), whose sum is σ = 26964. Its totient is φ = 5120.

The previous prime is 12809. The next prime is 12821. The reversal of 12820 is 2821.

12820 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8464 + 4356 = 92^2 + 66^2 .

12820 is strictly pandigital in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 12820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12821) by changing a digit.

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, 301 + ... + 340.

It is an arithmetic number, because the mean of its divisors is an integer number (2247).

2¹²⁸²⁰ is an apocalyptic number.

12820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12820 is an abundant number, since it is smaller than the sum of its proper divisors (14144).

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 (13482).

12820 is a wasteful number, since it uses less digits than its factorization.

12820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 12820 is about 113.2254388377. The cubic root of 12820 is about 23.4043189729.

Subtracting from 12820 its reverse (2821), we obtain a palindrome (9999).

The spelling of 12820 in words is "twelve thousand, eight hundred twenty".