12900 has 36 divisors (see below), whose sum is σ = 38192. Its totient is φ = 3360.

The previous prime is 12899. The next prime is 12907. The reversal of 12900 is 921.

It is a happy number.

12900 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

12900 is strictly pandigital in base 6.

It is not an unprimeable number, because it can be changed into a prime (12907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279 + ... + 321.

2¹²⁹⁰⁰ is an apocalyptic number.

12900 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 12900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19096).

12900 is an abundant number, since it is smaller than the sum of its proper divisors (25292).

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

12900 is a wasteful number, since it uses less digits than its factorization.

12900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 12900 is about 113.5781669160. The cubic root of 12900 is about 23.4529009888.

The spelling of 12900 in words is "twelve thousand, nine hundred".