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12222112829 is a prime number
BaseRepresentation
bin10110110000111111…
…01010010000111101
31011112210001122212112
423120133222100331
5200012330102304
65340442143405
7611606150003
oct133037522075
934483048775
1012222112829
1152020782a3
1224511b1b65
1311ca191b34
1483d318a73
154b7ee6b6e
hex2d87ea43d

12222112829 has 2 divisors, whose sum is σ = 12222112830. Its totient is φ = 12222112828.

The previous prime is 12222112723. The next prime is 12222112849. The reversal of 12222112829 is 92821122221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11285875225 + 936237604 = 106235^2 + 30598^2 .

It is a cyclic number.

It is not a de Polignac number, because 12222112829 - 220 = 12221064253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12222112795 and 12222112804.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12222112849) 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, 6111056414 + 6111056415.

It is an arithmetic number, because the mean of its divisors is an integer number (6111056415).

Almost surely, 212222112829 is an apocalyptic number.

It is an amenable number.

12222112829 is a deficient number, since it is larger than the sum of its proper divisors (1).

12222112829 is an equidigital number, since it uses as much as digits as its factorization.

12222112829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4608, while the sum is 32.

The spelling of 12222112829 in words is "twelve billion, two hundred twenty-two million, one hundred twelve thousand, eight hundred twenty-nine".