12728584721089 has 2 divisors, whose sum is σ = 12728584721090. Its totient is φ = 12728584721088.

The previous prime is 12728584721071. The next prime is 12728584721113. The reversal of 12728584721089 is 98012748582721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8992153710864 + 3736431010225 = 2998692^2 + 1932985^2 .

It is a cyclic number.

It is not a de Polignac number, because 12728584721089 - 2¹¹ = 12728584719041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12728584721089.

It is not a weakly prime, because it can be changed into another prime (12728584721029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6364292360544 + 6364292360545.

It is an arithmetic number, because the mean of its divisors is an integer number (6364292360545).

Almost surely, 2^{12728584721089} is an apocalyptic number.

It is an amenable number.

12728584721089 is a deficient number, since it is larger than the sum of its proper divisors (1).

12728584721089 is an equidigital number, since it uses as much as digits as its factorization.

12728584721089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36126720, while the sum is 64.

The spelling of 12728584721089 in words is "twelve trillion, seven hundred twenty-eight billion, five hundred eighty-four million, seven hundred twenty-one thousand, eighty-nine".