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12222301221133 is a prime number
BaseRepresentation
bin1011000111011011100111…
…1011000011000100001101
31121021102220012001012110221
42301312321323003010031
53100222233103034013
641554503032431341
72401014006141643
oct261667173030415
947242805035427
1012222301221133
1139924a344a573
12145491bb48551
136a87340985a3
143037c3851193
15162de417408d
hexb1db9ec310d

12222301221133 has 2 divisors, whose sum is σ = 12222301221134. Its totient is φ = 12222301221132.

The previous prime is 12222301221131. The next prime is 12222301221197. The reversal of 12222301221133 is 33112210322221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11979919284804 + 242381936329 = 3461202^2 + 492323^2 .

It is a cyclic number.

It is not a de Polignac number, because 12222301221133 - 21 = 12222301221131 is a prime.

Together with 12222301221131, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 12222301221098 and 12222301221107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12222301221131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6111150610566 + 6111150610567.

It is an arithmetic number, because the mean of its divisors is an integer number (6111150610567).

Almost surely, 212222301221133 is an apocalyptic number.

It is an amenable number.

12222301221133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12222301221133 is an equidigital number, since it uses as much as digits as its factorization.

12222301221133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 12222301221133 its reverse (33112210322221), we get a palindrome (45334511543354).

The spelling of 12222301221133 in words is "twelve trillion, two hundred twenty-two billion, three hundred one million, two hundred twenty-one thousand, one hundred thirty-three".