312120312200017 has 2 divisors, whose sum is σ = 312120312200018. Its totient is φ = 312120312200016.

The previous prime is 312120312199987. The next prime is 312120312200069. The reversal of 312120312200017 is 710002213021213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 305051514844176 + 7068797355841 = 17465724^2 + 2658721^2 .

It is a cyclic number.

It is not a de Polignac number, because 312120312200017 - 2⁷ = 312120312199889 is a prime.

It is a super-2 number, since 2×312120312200017² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312120312199964 and 312120312200000.

It is not a weakly prime, because it can be changed into another prime (312120312230017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156060156100008 + 156060156100009.

It is an arithmetic number, because the mean of its divisors is an integer number (156060156100009).

Almost surely, 2^{312120312200017} is an apocalyptic number.

It is an amenable number.

312120312200017 is a deficient number, since it is larger than the sum of its proper divisors (1).

312120312200017 is an equidigital number, since it uses as much as digits as its factorization.

312120312200017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

The spelling of 312120312200017 in words is "three hundred twelve trillion, one hundred twenty billion, three hundred twelve million, two hundred thousand, seventeen".