12870 has 48 divisors (see below), whose sum is σ = 39312. Its totient is φ = 2880.

The previous prime is 12853. The next prime is 12889. The reversal of 12870 is 7821.

12870 is nontrivially palindromic in base 14.

12870 is a nontrivial binomial coefficient, being equal to C(16, 8).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 984 + ... + 996.

It is an arithmetic number, because the mean of its divisors is an integer number (819).

2¹²⁸⁷⁰ is an apocalyptic number.

12870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656).

12870 is an abundant number, since it is smaller than the sum of its proper divisors (26442).

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

12870 is a wasteful number, since it uses less digits than its factorization.

12870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 12870 is about 113.4460224071. The cubic root of 12870 is about 23.4347063337.

It can be divided in two parts, 12 and 870, that multiplied together give a triangular number (10440 = T₁₄₄).

The spelling of 12870 in words is "twelve thousand, eight hundred seventy".