12727241620609 has 2 divisors, whose sum is σ = 12727241620610. Its totient is φ = 12727241620608.

The previous prime is 12727241620531. The next prime is 12727241620631. The reversal of 12727241620609 is 90602614272721.

12727241620609 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., 8353718478400 + 4373523142209 = 2890280^2 + 2091297^2 .

It is a cyclic number.

It is not a de Polignac number, because 12727241620609 - 2¹³ = 12727241612417 is a prime.

It is not a weakly prime, because it can be changed into another prime (12727241620649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6363620810304 + 6363620810305.

It is an arithmetic number, because the mean of its divisors is an integer number (6363620810305).

Almost surely, 2^{12727241620609} is an apocalyptic number.

It is an amenable number.

12727241620609 is a deficient number, since it is larger than the sum of its proper divisors (1).

12727241620609 is an equidigital number, since it uses as much as digits as its factorization.

12727241620609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1016064, while the sum is 49.

The spelling of 12727241620609 in words is "twelve trillion, seven hundred twenty-seven billion, two hundred forty-one million, six hundred twenty thousand, six hundred nine".