212312121213209 has 2 divisors, whose sum is σ = 212312121213210. Its totient is φ = 212312121213208.

The previous prime is 212312121213173. The next prime is 212312121213221. The reversal of 212312121213209 is 902312121213212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190960698235609 + 21351422977600 = 13818853^2 + 4620760^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212312121213209 is a prime.

It is not a weakly prime, because it can be changed into another prime (212312121218209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106156060606604 + 106156060606605.

It is an arithmetic number, because the mean of its divisors is an integer number (106156060606605).

Almost surely, 2^{212312121213209} is an apocalyptic number.

It is an amenable number.

212312121213209 is a deficient number, since it is larger than the sum of its proper divisors (1).

212312121213209 is an equidigital number, since it uses as much as digits as its factorization.

212312121213209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 212312121213209 in words is "two hundred twelve trillion, three hundred twelve billion, one hundred twenty-one million, two hundred thirteen thousand, two hundred nine".