121222312213193 has 2 divisors, whose sum is σ = 121222312213194. Its totient is φ = 121222312213192.

The previous prime is 121222312213153. The next prime is 121222312213201. The reversal of 121222312213193 is 391312213222121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120975295261129 + 247016952064 = 10998877^2 + 497008^2 .

It is a cyclic number.

It is not a de Polignac number, because 121222312213193 - 2³⁶ = 121153592736457 is a prime.

It is not a weakly prime, because it can be changed into another prime (121222312213153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60611156106596 + 60611156106597.

It is an arithmetic number, because the mean of its divisors is an integer number (60611156106597).

Almost surely, 2^{121222312213193} is an apocalyptic number.

It is an amenable number.

121222312213193 is a deficient number, since it is larger than the sum of its proper divisors (1).

121222312213193 is an equidigital number, since it uses as much as digits as its factorization.

121222312213193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 35.

The spelling of 121222312213193 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, three hundred twelve million, two hundred thirteen thousand, one hundred ninety-three".