12002122057 has 2 divisors, whose sum is σ = 12002122058. Its totient is φ = 12002122056.

The previous prime is 12002122001. The next prime is 12002122087. The reversal of 12002122057 is 75022120021.

12002122057 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., 11971861056 + 30261001 = 109416^2 + 5501^2 .

It is an emirp because it is prime and its reverse (75022120021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12002122057 - 2¹⁵ = 12002089289 is a prime.

It is a super-2 number, since 2×12002122057² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12002122087) 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, 6001061028 + 6001061029.

It is an arithmetic number, because the mean of its divisors is an integer number (6001061029).

Almost surely, 2^12002122057 is an apocalyptic number.

It is an amenable number.

12002122057 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002122057 is an equidigital number, since it uses as much as digits as its factorization.

12002122057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 22.

Adding to 12002122057 its reverse (75022120021), we get a palindrome (87024242078).

The spelling of 12002122057 in words is "twelve billion, two million, one hundred twenty-two thousand, fifty-seven".