12045 has 16 divisors (see below), whose sum is σ = 21312. Its totient is φ = 5760.

The previous prime is 12043. The next prime is 12049. The reversal of 12045 is 54021.

Added to its reverse (54021) it gives a triangular number (66066 = T₃₆₃).

12045 = T₄₄ + T₄₅ + ... + T₅₃.

12045 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 12045 - 2¹ = 12043 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129 + ... + 201.

It is an arithmetic number, because the mean of its divisors is an integer number (1332).

2¹²⁰⁴⁵ is an apocalyptic number.

12045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12045 is a deficient number, since it is larger than the sum of its proper divisors (9267).

12045 is a wasteful number, since it uses less digits than its factorization.

12045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92.

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 12045 is about 109.7497152616. The cubic root of 12045 is about 22.9228670092.

Adding to 12045 its reverse (54021), we get a palindrome (66066).

The spelling of 12045 in words is "twelve thousand, forty-five".