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12201112129 is a prime number
BaseRepresentation
bin10110101110011111…
…00011001001000001
31011111022112201022211
423113033203021001
5144441441042004
65334412102121
7611232512323
oct132717431101
934438481284
1012201112129
1151a1234148
122446164941
1311c5a1b09b
1483a60d613
154b6249504
hex2d73e3241

12201112129 has 2 divisors, whose sum is σ = 12201112130. Its totient is φ = 12201112128.

The previous prime is 12201112111. The next prime is 12201112163. The reversal of 12201112129 is 92121110221.

12201112129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11908702129 + 292410000 = 109127^2 + 17100^2 .

It is a cyclic number.

It is not a de Polignac number, because 12201112129 - 29 = 12201111617 is a prime.

It is not a weakly prime, because it can be changed into another prime (12201112229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100556064 + 6100556065.

It is an arithmetic number, because the mean of its divisors is an integer number (6100556065).

Almost surely, 212201112129 is an apocalyptic number.

It is an amenable number.

12201112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12201112129 is an equidigital number, since it uses as much as digits as its factorization.

12201112129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 12201112129 in words is "twelve billion, two hundred one million, one hundred twelve thousand, one hundred twenty-nine".