12727638301241 has 2 divisors, whose sum is σ = 12727638301242. Its totient is φ = 12727638301240.

The previous prime is 12727638301177. The next prime is 12727638301253. The reversal of 12727638301241 is 14210383672721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11123859210025 + 1603779091216 = 3335245^2 + 1266404^2 .

It is a cyclic number.

It is not a de Polignac number, because 12727638301241 - 2⁶ = 12727638301177 is a prime.

It is not a weakly prime, because it can be changed into another prime (12727638301841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6363819150620 + 6363819150621.

It is an arithmetic number, because the mean of its divisors is an integer number (6363819150621).

Almost surely, 2^{12727638301241} is an apocalyptic number.

It is an amenable number.

12727638301241 is a deficient number, since it is larger than the sum of its proper divisors (1).

12727638301241 is an equidigital number, since it uses as much as digits as its factorization.

12727638301241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 677376, while the sum is 47.

The spelling of 12727638301241 in words is "twelve trillion, seven hundred twenty-seven billion, six hundred thirty-eight million, three hundred one thousand, two hundred forty-one".