12212585618801 has 2 divisors, whose sum is σ = 12212585618802. Its totient is φ = 12212585618800.

The previous prime is 12212585618789. The next prime is 12212585618851. The reversal of 12212585618801 is 10881658521221.

It is an a-pointer prime, because the next prime (12212585618851) can be obtained adding 12212585618801 to its sum of digits (50).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7340853778801 + 4871731840000 = 2709401^2 + 2207200^2 .

It is an emirp because it is prime and its reverse (10881658521221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12212585618801 is a prime.

It is a super-4 number, since 4×12212585618801⁴ (a number of 53 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12212585618801.

It is not a weakly prime, because it can be changed into another prime (12212585618851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6106292809400 + 6106292809401.

It is an arithmetic number, because the mean of its divisors is an integer number (6106292809401).

Almost surely, 2^{12212585618801} is an apocalyptic number.

It is an amenable number.

12212585618801 is a deficient number, since it is larger than the sum of its proper divisors (1).

12212585618801 is an equidigital number, since it uses as much as digits as its factorization.

12212585618801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 614400, while the sum is 50.

The spelling of 12212585618801 in words is "twelve trillion, two hundred twelve billion, five hundred eighty-five million, six hundred eighteen thousand, eight hundred one".