12212112120193 has 2 divisors, whose sum is σ = 12212112120194. Its totient is φ = 12212112120192.

The previous prime is 12212112120179. The next prime is 12212112120217. The reversal of 12212112120193 is 39102121121221.

12212112120193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11225602314369 + 986509805824 = 3350463^2 + 993232^2 .

It is a cyclic number.

It is not a de Polignac number, because 12212112120193 - 2⁹ = 12212112119681 is a prime.

It is not a weakly prime, because it can be changed into another prime (12212112120113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6106056060096 + 6106056060097.

It is an arithmetic number, because the mean of its divisors is an integer number (6106056060097).

Almost surely, 2^{12212112120193} is an apocalyptic number.

It is an amenable number.

12212112120193 is a deficient number, since it is larger than the sum of its proper divisors (1).

12212112120193 is an equidigital number, since it uses as much as digits as its factorization.

12212112120193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 28.

The spelling of 12212112120193 in words is "twelve trillion, two hundred twelve billion, one hundred twelve million, one hundred twenty thousand, one hundred ninety-three".