12052212761 has 2 divisors, whose sum is σ = 12052212762. Its totient is φ = 12052212760.

The previous prime is 12052212749. The next prime is 12052212763. The reversal of 12052212761 is 16721225021.

It is a happy number.

12052212761 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., 8085606400 + 3966606361 = 89920^2 + 62981^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12052212761 is a prime.

It is a super-2 number, since 2×12052212761² (a number of 21 digits) contains 22 as substring.

Together with 12052212763, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12052212763) 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, 6026106380 + 6026106381.

It is an arithmetic number, because the mean of its divisors is an integer number (6026106381).

Almost surely, 2^12052212761 is an apocalyptic number.

It is an amenable number.

12052212761 is a deficient number, since it is larger than the sum of its proper divisors (1).

12052212761 is an equidigital number, since it uses as much as digits as its factorization.

12052212761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 29.

Adding to 12052212761 its reverse (16721225021), we get a palindrome (28773437782).

The spelling of 12052212761 in words is "twelve billion, fifty-two million, two hundred twelve thousand, seven hundred sixty-one".