12111211206001 has 2 divisors, whose sum is σ = 12111211206002. Its totient is φ = 12111211206000.

The previous prime is 12111211205971. The next prime is 12111211206071. The reversal of 12111211206001 is 10060211211121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10641139829776 + 1470071376225 = 3262076^2 + 1212465^2 .

It is an emirp because it is prime and its reverse (10060211211121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12111211206001 - 2⁵ = 12111211205969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12111211206001.

It is not a weakly prime, because it can be changed into another prime (12111211206071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6055605603000 + 6055605603001.

It is an arithmetic number, because the mean of its divisors is an integer number (6055605603001).

Almost surely, 2^{12111211206001} is an apocalyptic number.

It is an amenable number.

12111211206001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12111211206001 is an equidigital number, since it uses as much as digits as its factorization.

12111211206001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 12111211206001 its reverse (10060211211121), we get a palindrome (22171422417122).

The spelling of 12111211206001 in words is "twelve trillion, one hundred eleven billion, two hundred eleven million, two hundred six thousand, one".