12002005816817 has 2 divisors, whose sum is σ = 12002005816818. Its totient is φ = 12002005816816.

The previous prime is 12002005816813. The next prime is 12002005816883. The reversal of 12002005816817 is 71861850020021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11953504123456 + 48501693361 = 3457384^2 + 220231^2 .

It is a cyclic number.

It is not a de Polignac number, because 12002005816817 - 2² = 12002005816813 is a prime.

It is a super-2 number, since 2×12002005816817² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12002005816813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001002908408 + 6001002908409.

It is an arithmetic number, because the mean of its divisors is an integer number (6001002908409).

Almost surely, 2^{12002005816817} is an apocalyptic number.

It is an amenable number.

12002005816817 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002005816817 is an equidigital number, since it uses as much as digits as its factorization.

12002005816817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 53760, while the sum is 41.

Adding to 12002005816817 its reverse (71861850020021), we get a palindrome (83863855836838).

The spelling of 12002005816817 in words is "twelve trillion, two billion, five million, eight hundred sixteen thousand, eight hundred seventeen".