12700 has 18 divisors (see below), whose sum is σ = 27776. Its totient is φ = 5040.

The previous prime is 12697. The next prime is 12703. The reversal of 12700 is 721.

12700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12697) and next prime (12703).

It is a super-2 number, since 2×12700² = 322580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 6.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12703) 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 5 ways as a sum of consecutive naturals, for example, 37 + ... + 163.

2¹²⁷⁰⁰ is an apocalyptic number.

12700 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 12700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13888).

12700 is an abundant number, since it is smaller than the sum of its proper divisors (15076).

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

12700 is a wasteful number, since it uses less digits than its factorization.

12700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 12700 is about 112.6942766958. The cubic root of 12700 is about 23.3310655392.

It can be divided in two parts, 1 and 2700, that added together give a triangular number (2701 = T₇₃).

The spelling of 12700 in words is "twelve thousand, seven hundred", and thus it is an iban number.