12687188121689 has 2 divisors, whose sum is σ = 12687188121690. Its totient is φ = 12687188121688.

The previous prime is 12687188121599. The next prime is 12687188121697. The reversal of 12687188121689 is 98612188178621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12117326190025 + 569861931664 = 3480995^2 + 754892^2 .

It is a cyclic number.

It is not a de Polignac number, because 12687188121689 - 2²⁴ = 12687171344473 is a prime.

It is not a weakly prime, because it can be changed into another prime (12687188121589) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6343594060844 + 6343594060845.

It is an arithmetic number, because the mean of its divisors is an integer number (6343594060845).

Almost surely, 2^{12687188121689} is an apocalyptic number.

It is an amenable number.

12687188121689 is a deficient number, since it is larger than the sum of its proper divisors (1).

12687188121689 is an equidigital number, since it uses as much as digits as its factorization.

12687188121689 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 37158912, while the sum is 68.

The spelling of 12687188121689 in words is "twelve trillion, six hundred eighty-seven billion, one hundred eighty-eight million, one hundred twenty-one thousand, six hundred eighty-nine".