12008005729 has 2 divisors, whose sum is σ = 12008005730. Its totient is φ = 12008005728.

The previous prime is 12008005703. The next prime is 12008005781. The reversal of 12008005729 is 92750080021.

12008005729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11718495504 + 289510225 = 108252^2 + 17015^2 .

It is a cyclic number.

It is not a de Polignac number, because 12008005729 - 2¹¹ = 12008003681 is a prime.

It is a super-3 number, since 3×12008005729³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12008005694 and 12008005703.

It is not a weakly prime, because it can be changed into another prime (12008008729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6004002864 + 6004002865.

It is an arithmetic number, because the mean of its divisors is an integer number (6004002865).

Almost surely, 2^12008005729 is an apocalyptic number.

It is an amenable number.

12008005729 is a deficient number, since it is larger than the sum of its proper divisors (1).

12008005729 is an equidigital number, since it uses as much as digits as its factorization.

12008005729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 12008005729 in words is "twelve billion, eight million, five thousand, seven hundred twenty-nine".