212967144017 has 2 divisors, whose sum is σ = 212967144018. Its totient is φ = 212967144016.

The previous prime is 212967143993. The next prime is 212967144029. The reversal of 212967144017 is 710441769212.

212967144017 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., 122390824336 + 90576319681 = 349844^2 + 300959^2 .

It is a cyclic number.

It is not a de Polignac number, because 212967144017 - 2²⁸ = 212698708561 is a prime.

It is not a weakly prime, because it can be changed into another prime (212967144917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106483572008 + 106483572009.

It is an arithmetic number, because the mean of its divisors is an integer number (106483572009).

Almost surely, 2^212967144017 is an apocalyptic number.

It is an amenable number.

212967144017 is a deficient number, since it is larger than the sum of its proper divisors (1).

212967144017 is an equidigital number, since it uses as much as digits as its factorization.

212967144017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 169344, while the sum is 44.

The spelling of 212967144017 in words is "two hundred twelve billion, nine hundred sixty-seven million, one hundred forty-four thousand, seventeen".