3112000221217 has 2 divisors, whose sum is σ = 3112000221218. Its totient is φ = 3112000221216.

The previous prime is 3112000221191. The next prime is 3112000221221. The reversal of 3112000221217 is 7121220002113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3104207039376 + 7793181841 = 1761876^2 + 88279^2 .

It is a cyclic number.

It is not a de Polignac number, because 3112000221217 - 2³¹ = 3109852737569 is a prime.

It is a super-2 number, since 2×3112000221217² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3112000221247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1556000110608 + 1556000110609.

It is an arithmetic number, because the mean of its divisors is an integer number (1556000110609).

Almost surely, 2^{3112000221217} is an apocalyptic number.

It is an amenable number.

3112000221217 is a deficient number, since it is larger than the sum of its proper divisors (1).

3112000221217 is an equidigital number, since it uses as much as digits as its factorization.

3112000221217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 22.

The spelling of 3112000221217 in words is "three trillion, one hundred twelve billion, two hundred twenty-one thousand, two hundred seventeen".