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12222121001 is a prime number
BaseRepresentation
bin10110110000111111…
…01100010000101001
31011112210002002002012
423120133230100221
5200012330333001
65340442245305
7611606212556
oct133037542051
934483062065
1012222121001
115202083452
1224511b6835
1311ca19577c
1483d31ba2d
154b7ee92bb
hex2d87ec429

12222121001 has 2 divisors, whose sum is σ = 12222121002. Its totient is φ = 12222121000.

The previous prime is 12222120997. The next prime is 12222121031. The reversal of 12222121001 is 10012122221.

12222121001 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., 11296501225 + 925619776 = 106285^2 + 30424^2 .

It is a cyclic number.

It is not a de Polignac number, because 12222121001 - 22 = 12222120997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (12222121031) 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, 6111060500 + 6111060501.

It is an arithmetic number, because the mean of its divisors is an integer number (6111060501).

Almost surely, 212222121001 is an apocalyptic number.

It is an amenable number.

12222121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12222121001 is an equidigital number, since it uses as much as digits as its factorization.

12222121001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12222121001 its reverse (10012122221), we get a palindrome (22234243222).

The spelling of 12222121001 in words is "twelve billion, two hundred twenty-two million, one hundred twenty-one thousand, one".