12001 has 4 divisors (see below), whose sum is σ = 13104. Its totient is φ = 10900.

The previous prime is 11987. The next prime is 12007. The reversal of 12001 is 10021.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 10021 = 11 ⋅911.

It is a cyclic number.

It is not a de Polignac number, because 12001 - 2⁵ = 11969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 535 + ... + 556.

It is an arithmetic number, because the mean of its divisors is an integer number (3276).

2¹²⁰⁰¹ is an apocalyptic number.

12001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12001 is a deficient number, since it is larger than the sum of its proper divisors (1103).

12001 is a wasteful number, since it uses less digits than its factorization.

12001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102.

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 12001 is about 109.5490757606. The cubic root of 12001 is about 22.8949207858.

Adding to 12001 its reverse (10021), we get a palindrome (22022).

Multiplying 12001 by its reverse (10021), we get a palindrome (120262021).

It can be divided in two parts, 1 and 2001, that added together give a palindrome (2002).

The spelling of 12001 in words is "twelve thousand, one", and thus it is an iban number.