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12222122201 is a prime number
BaseRepresentation
bin10110110000111111…
…01100100011011001
31011112210002010201122
423120133230203121
5200012330402301
65340442255025
7611606216222
oct133037544331
934483063648
1012222122201
115202084343
1224511b7475
1311ca196193
1483d31c249
154b7ee981b
hex2d87ec8d9

12222122201 has 2 divisors, whose sum is σ = 12222122202. Its totient is φ = 12222122200.

The previous prime is 12222122189. The next prime is 12222122207. The reversal of 12222122201 is 10222122221.

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., 9545094601 + 2677027600 = 97699^2 + 51740^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12222122201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12222122201.

It is not a weakly prime, because it can be changed into another prime (12222122207) 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, 6111061100 + 6111061101.

It is an arithmetic number, because the mean of its divisors is an integer number (6111061101).

Almost surely, 212222122201 is an apocalyptic number.

It is an amenable number.

12222122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12222122201 is an equidigital number, since it uses as much as digits as its factorization.

12222122201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12222122201 its reverse (10222122221), we get a palindrome (22444244422).

The spelling of 12222122201 in words is "twelve billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred one".