12800 has 30 divisors (see below), whose sum is σ = 31713. Its totient is φ = 5120.

The previous prime is 12799. The next prime is 12809. The reversal of 12800 is 821.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 12544 + 256 = 112^2 + 16^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=80.

It is a Duffinian number.

It is a nialpdrome in base 8 and base 16.

It is not an unprimeable number, because it can be changed into a prime (12809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2558 + ... + 2562.

2¹²⁸⁰⁰ is an apocalyptic number.

12800 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 12800

12800 is an abundant number, since it is smaller than the sum of its proper divisors (18913).

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

12800 is an frugal number, since it uses more digits than its factorization.

12800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 12800 is about 113.1370849898. The cubic root of 12800 is about 23.3921419057.

The spelling of 12800 in words is "twelve thousand, eight hundred".