12033 has 12 divisors (see below), whose sum is σ = 19968. Its totient is φ = 6840.

The previous prime is 12011. The next prime is 12037. The reversal of 12033 is 33021.

It is a happy number.

It is not a de Polignac number, because 12033 - 2⁶ = 11969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (12037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33 + ... + 158.

It is an arithmetic number, because the mean of its divisors is an integer number (1664).

It is a Proth number, since it is equal to 47 ⋅ 2⁸ + 1 and 47 < 2⁸.

2¹²⁰³³ is an apocalyptic number.

It is an amenable number.

12033 is a deficient number, since it is larger than the sum of its proper divisors (7935).

12033 is a wasteful number, since it uses less digits than its factorization.

12033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 12033 is about 109.6950317927. The cubic root of 12033 is about 22.9152520706.

Adding to 12033 its reverse (33021), we get a palindrome (45054).

It can be divided in two parts, 120 and 33, that added together give a triangular number (153 = T₁₇).

The spelling of 12033 in words is "twelve thousand, thirty-three".