12890 has 8 divisors (see below), whose sum is σ = 23220. Its totient is φ = 5152.

The previous prime is 12889. The next prime is 12893. The reversal of 12890 is 9821.

12890 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12769 + 121 = 113^2 + 11^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

12890 is strictly pandigital in base 6.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (12893) 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 3 ways as a sum of consecutive naturals, for example, 635 + ... + 654.

2¹²⁸⁹⁰ is an apocalyptic number.

12890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12890 is a deficient number, since it is larger than the sum of its proper divisors (10330).

12890 is a wasteful number, since it uses less digits than its factorization.

12890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 12890 is about 113.5341358359. The cubic root of 12890 is about 23.4468392410.

The spelling of 12890 in words is "twelve thousand, eight hundred ninety".