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12222120313297 is a prime number
BaseRepresentation
bin1011000111011010111100…
…1000111100000111010001
31121021102102120122010120201
42301312233020330013101
53100221400300011142
641554433051135201
72401006351352566
oct261665710740721
947242376563521
1012222120313297
113992410317864
12145488b444501
136a870576742b
143037a77dc86d
15162dd333bab7
hexb1daf23c1d1

12222120313297 has 2 divisors, whose sum is σ = 12222120313298. Its totient is φ = 12222120313296.

The previous prime is 12222120313243. The next prime is 12222120313343. The reversal of 12222120313297 is 79231302122221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10959814134721 + 1262306178576 = 3310561^2 + 1123524^2 .

It is a cyclic number.

It is not a de Polignac number, because 12222120313297 - 215 = 12222120280529 is a prime.

It is not a weakly prime, because it can be changed into another prime (12222120313217) 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, 6111060156648 + 6111060156649.

It is an arithmetic number, because the mean of its divisors is an integer number (6111060156649).

Almost surely, 212222120313297 is an apocalyptic number.

It is an amenable number.

12222120313297 is a deficient number, since it is larger than the sum of its proper divisors (1).

12222120313297 is an equidigital number, since it uses as much as digits as its factorization.

12222120313297 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 12222120313297 in words is "twelve trillion, two hundred twenty-two billion, one hundred twenty million, three hundred thirteen thousand, two hundred ninety-seven".