12048 has 20 divisors (see below), whose sum is σ = 31248. Its totient is φ = 4000.

The previous prime is 12043. The next prime is 12049. The reversal of 12048 is 84021.

12048 is nontrivially palindromic in base 5 and base 15.

It is a plaindrome in base 14.

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

12048 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78 + ... + 173.

2¹²⁰⁴⁸ is an apocalyptic number.

It is an amenable number.

12048 is an abundant number, since it is smaller than the sum of its proper divisors (19200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624).

12048 is a wasteful number, since it uses less digits than its factorization.

12048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 12048 is about 109.7633818721. The cubic root of 12048 is about 22.9247699535.

Adding to 12048 its reverse (84021), we get a palindrome (96069).

The spelling of 12048 in words is "twelve thousand, forty-eight".