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12221123329 is a prime number
BaseRepresentation
bin10110110000110111…
…11000101100000001
31011112201012101112101
423120123320230001
5200012101421304
65340405030401
7611564556112
oct133033705401
934481171471
1012221123329
115201561928
1224509b5401
1311c9c0662c
1483d13c209
154b7d9d8a4
hex2d86f8b01

12221123329 has 2 divisors, whose sum is σ = 12221123330. Its totient is φ = 12221123328.

The previous prime is 12221123269. The next prime is 12221123351. The reversal of 12221123329 is 92332112221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7087114225 + 5134009104 = 84185^2 + 71652^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221123329 - 211 = 12221121281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12221123297 and 12221123306.

It is not a weakly prime, because it can be changed into another prime (12221123029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110561664 + 6110561665.

It is an arithmetic number, because the mean of its divisors is an integer number (6110561665).

Almost surely, 212221123329 is an apocalyptic number.

It is an amenable number.

12221123329 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221123329 is an equidigital number, since it uses as much as digits as its factorization.

12221123329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2592, while the sum is 28.

The spelling of 12221123329 in words is "twelve billion, two hundred twenty-one million, one hundred twenty-three thousand, three hundred twenty-nine".