12001310311841 has 2 divisors, whose sum is σ = 12001310311842. Its totient is φ = 12001310311840.

The previous prime is 12001310311789. The next prime is 12001310311847. The reversal of 12001310311841 is 14811301310021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11740593867025 + 260716444816 = 3426455^2 + 510604^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12001310311841 is a prime.

It is a super-2 number, since 2×12001310311841² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12001310311841.

It is not a weakly prime, because it can be changed into another prime (12001310311847) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000655155920 + 6000655155921.

It is an arithmetic number, because the mean of its divisors is an integer number (6000655155921).

Almost surely, 2^{12001310311841} is an apocalyptic number.

It is an amenable number.

12001310311841 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001310311841 is an equidigital number, since it uses as much as digits as its factorization.

12001310311841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

Adding to 12001310311841 its reverse (14811301310021), we get a palindrome (26812611621862).

The spelling of 12001310311841 in words is "twelve trillion, one billion, three hundred ten million, three hundred eleven thousand, eight hundred forty-one".