12727638301177 has 2 divisors, whose sum is σ = 12727638301178. Its totient is φ = 12727638301176.

The previous prime is 12727638301139. The next prime is 12727638301241. The reversal of 12727638301177 is 77110383672721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10909088957881 + 1818549343296 = 3302891^2 + 1348536^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12727638301177 is a prime.

It is not a weakly prime, because it can be changed into another prime (12727638301277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6363819150588 + 6363819150589.

It is an arithmetic number, because the mean of its divisors is an integer number (6363819150589).

Almost surely, 2^{12727638301177} is an apocalyptic number.

It is an amenable number.

12727638301177 is a deficient number, since it is larger than the sum of its proper divisors (1).

12727638301177 is an equidigital number, since it uses as much as digits as its factorization.

12727638301177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4148928, while the sum is 55.

The spelling of 12727638301177 in words is "twelve trillion, seven hundred twenty-seven billion, six hundred thirty-eight million, three hundred one thousand, one hundred seventy-seven".