12008684108249 has 2 divisors, whose sum is σ = 12008684108250. Its totient is φ = 12008684108248.

The previous prime is 12008684108203. The next prime is 12008684108251. The reversal of 12008684108249 is 94280148680021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7139755009024 + 4868929099225 = 2672032^2 + 2206565^2 .

It is a cyclic number.

It is not a de Polignac number, because 12008684108249 - 2²⁸ = 12008415672793 is a prime.

Together with 12008684108251, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12008684108249.

It is not a weakly prime, because it can be changed into another prime (12008684108279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6004342054124 + 6004342054125.

It is an arithmetic number, because the mean of its divisors is an integer number (6004342054125).

Almost surely, 2^{12008684108249} is an apocalyptic number.

It is an amenable number.

12008684108249 is a deficient number, since it is larger than the sum of its proper divisors (1).

12008684108249 is an equidigital number, since it uses as much as digits as its factorization.

12008684108249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1769472, while the sum is 53.

The spelling of 12008684108249 in words is "twelve trillion, eight billion, six hundred eighty-four million, one hundred eight thousand, two hundred forty-nine".