12082673147729 has 2 divisors, whose sum is σ = 12082673147730. Its totient is φ = 12082673147728.

The previous prime is 12082673147651. The next prime is 12082673147773. The reversal of 12082673147729 is 92774137628021.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11201237580625 + 881435567104 = 3346825^2 + 938848^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12082673147729 is a prime.

It is a super-3 number, since 3×12082673147729³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (12082673147429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6041336573864 + 6041336573865.

It is an arithmetic number, because the mean of its divisors is an integer number (6041336573865).

Almost surely, 2^{12082673147729} is an apocalyptic number.

It is an amenable number.

12082673147729 is a deficient number, since it is larger than the sum of its proper divisors (1).

12082673147729 is an equidigital number, since it uses as much as digits as its factorization.

12082673147729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14224896, while the sum is 59.

The spelling of 12082673147729 in words is "twelve trillion, eighty-two billion, six hundred seventy-three million, one hundred forty-seven thousand, seven hundred twenty-nine".