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12221122229 is a prime number
BaseRepresentation
bin10110110000110111…
…11000011010110101
31011112201012100000122
423120123320122311
5200012101402404
65340405021325
7611564552651
oct133033703265
934481170018
1012221122229
115201561018
1224509b4845
1311c9c05c94
1483d13ba61
154b7d9d3be
hex2d86f86b5

12221122229 has 2 divisors, whose sum is σ = 12221122230. Its totient is φ = 12221122228.

The previous prime is 12221122217. The next prime is 12221122241. The reversal of 12221122229 is 92222112221.

It is a balanced prime because it is at equal distance from previous prime (12221122217) and next prime (12221122241).

It can be written as a sum of positive squares in only one way, i.e., 9411910225 + 2809212004 = 97015^2 + 53002^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221122229 - 228 = 11952686773 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12221122198 and 12221122207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12221122729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110561114 + 6110561115.

It is an arithmetic number, because the mean of its divisors is an integer number (6110561115).

Almost surely, 212221122229 is an apocalyptic number.

It is an amenable number.

12221122229 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221122229 is an equidigital number, since it uses as much as digits as its factorization.

12221122229 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1152, while the sum is 26.

The spelling of 12221122229 in words is "twelve billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred twenty-nine".