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12222413129 is a prime number
BaseRepresentation
bin10110110001000001…
…10011100101001001
31011112210121220210202
423120200303211021
5200012414210004
65340452421545
7611611540343
oct133040634511
934483556722
1012222413129
115202262983
1224513178b5
1311ca268724
1483d396293
154b8055b1e
hex2d8833949

12222413129 has 2 divisors, whose sum is σ = 12222413130. Its totient is φ = 12222413128.

The previous prime is 12222413089. The next prime is 12222413131. The reversal of 12222413129 is 92131422221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8158605625 + 4063807504 = 90325^2 + 63748^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12222413129 is a prime.

Together with 12222413131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12222413429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6111206564 + 6111206565.

It is an arithmetic number, because the mean of its divisors is an integer number (6111206565).

Almost surely, 212222413129 is an apocalyptic number.

It is an amenable number.

12222413129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12222413129 is an equidigital number, since it uses as much as digits as its factorization.

12222413129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456, while the sum is 29.

The spelling of 12222413129 in words is "twelve billion, two hundred twenty-two million, four hundred thirteen thousand, one hundred twenty-nine".