12720 has 40 divisors (see below), whose sum is σ = 40176. Its totient is φ = 3328.

The previous prime is 12713. The next prime is 12721. The reversal of 12720 is 2721.

12720 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

12720 is a nontrivial binomial coefficient, being equal to C(160, 2).

It is a tau number, because it is divible by the number of its divisors (40).

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

12720 is strictly pandigital in base 6.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 12696 and 12705.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12720.

It is not an unprimeable number, because it can be changed into a prime (12721) by changing a digit.

It is a nontrivial repunit in base 23.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214 + ... + 266.

2¹²⁷²⁰ is an apocalyptic number.

12720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12720 is the 159-th triangular number and also the 80-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20088).

12720 is an abundant number, since it is smaller than the sum of its proper divisors (27456).

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

12720 is a wasteful number, since it uses less digits than its factorization.

12720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 12720 is about 112.7829774390. The cubic root of 12720 is about 23.3433063943.

Subtracting from 12720 its reverse (2721), we obtain a palindrome (9999).

The spelling of 12720 in words is "twelve thousand, seven hundred twenty", and thus it is an iban number.