12041 has 2 divisors, whose sum is σ = 12042. Its totient is φ = 12040.

The previous prime is 12037. The next prime is 12043. The reversal of 12041 is 14021.

12041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10816 + 1225 = 104^2 + 35^2 .

It is a cyclic number.

It is not a de Polignac number, because 12041 - 2² = 12037 is a prime.

It is a Sophie Germain prime.

Together with 12043, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12041.

It is not a weakly prime, because it can be changed into another prime (12043) 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 as a sum of consecutive naturals, namely, 6020 + 6021.

It is an arithmetic number, because the mean of its divisors is an integer number (6021).

2¹²⁰⁴¹ is an apocalyptic number.

It is an amenable number.

12041 is a deficient number, since it is larger than the sum of its proper divisors (1).

12041 is an equidigital number, since it uses as much as digits as its factorization.

12041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 12041 is about 109.7314904665. The cubic root of 12041 is about 22.9203292585.

Adding to 12041 its reverse (14021), we get a palindrome (26062).

It can be divided in two parts, 120 and 41, that added together give a palindrome (161).

The spelling of 12041 in words is "twelve thousand, forty-one", and thus it is an iban number.