12901 has 8 divisors (see below), whose sum is σ = 15680. Its totient is φ = 10368.

The previous prime is 12899. The next prime is 12907. The reversal of 12901 is 10921.

12901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a 4-Lehmer number, since φ(12901) divides (12901-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 12901 - 2¹ = 12899 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12907) 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 7 ways as a sum of consecutive naturals, for example, 85 + ... + 181.

It is an arithmetic number, because the mean of its divisors is an integer number (1960).

2¹²⁹⁰¹ is an apocalyptic number.

It is an amenable number.

12901 is a deficient number, since it is larger than the sum of its proper divisors (2779).

12901 is an equidigital number, since it uses as much as digits as its factorization.

12901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 12901 is about 113.5825690852. The cubic root of 12901 is about 23.4535069912.

The spelling of 12901 in words is "twelve thousand, nine hundred one".