12005217127697 has 2 divisors, whose sum is σ = 12005217127698. Its totient is φ = 12005217127696.

The previous prime is 12005217127669. The next prime is 12005217127723. The reversal of 12005217127697 is 79672171250021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8895210810256 + 3110006317441 = 2982484^2 + 1763521^2 .

It is a cyclic number.

It is not a de Polignac number, because 12005217127697 - 2³⁴ = 11988037258513 is a prime.

It is not a weakly prime, because it can be changed into another prime (12005217127637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6002608563848 + 6002608563849.

It is an arithmetic number, because the mean of its divisors is an integer number (6002608563849).

Almost surely, 2^{12005217127697} is an apocalyptic number.

It is an amenable number.

12005217127697 is a deficient number, since it is larger than the sum of its proper divisors (1).

12005217127697 is an equidigital number, since it uses as much as digits as its factorization.

12005217127697 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 740880, while the sum is 50.

The spelling of 12005217127697 in words is "twelve trillion, five billion, two hundred seventeen million, one hundred twenty-seven thousand, six hundred ninety-seven".