12005124133 has 2 divisors, whose sum is σ = 12005124134. Its totient is φ = 12005124132.

The previous prime is 12005124101. The next prime is 12005124149. The reversal of 12005124133 is 33142150021.

It is a happy number.

12005124133 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., 10510760484 + 1494363649 = 102522^2 + 38657^2 .

It is an emirp because it is prime and its reverse (33142150021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12005124133 - 2⁵ = 12005124101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12005121133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6002562066 + 6002562067.

It is an arithmetic number, because the mean of its divisors is an integer number (6002562067).

Almost surely, 2^12005124133 is an apocalyptic number.

It is an amenable number.

12005124133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12005124133 is an equidigital number, since it uses as much as digits as its factorization.

12005124133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 12005124133 its reverse (33142150021), we get a palindrome (45147274154).

The spelling of 12005124133 in words is "twelve billion, five million, one hundred twenty-four thousand, one hundred thirty-three".