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12022212212281 is a prime number
BaseRepresentation
bin1010111011110010001110…
…1100000011011000111001
31120120022102122021101210101
42232330203230003120321
53033432442311243111
641322532242515401
72350401424500625
oct256744354033071
946508378241711
1012022212212281
113915656414737
121421b9a665b61
136928c74b366b
142d7c41a00185
1515cad2ebbbc1
hexaef23b03639

12022212212281 has 2 divisors, whose sum is σ = 12022212212282. Its totient is φ = 12022212212280.

The previous prime is 12022212212279. The next prime is 12022212212347. The reversal of 12022212212281 is 18221221222021.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6578814606400 + 5443397605881 = 2564920^2 + 2333109^2 .

It is a cyclic number.

It is not a de Polignac number, because 12022212212281 - 21 = 12022212212279 is a prime.

It is a super-2 number, since 2×120222122122812 (a number of 27 digits) contains 22 as substring.

Together with 12022212212279, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12022212212251) 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, 6011106106140 + 6011106106141.

It is an arithmetic number, because the mean of its divisors is an integer number (6011106106141).

Almost surely, 212022212212281 is an apocalyptic number.

It is an amenable number.

12022212212281 is a deficient number, since it is larger than the sum of its proper divisors (1).

12022212212281 is an equidigital number, since it uses as much as digits as its factorization.

12022212212281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2048, while the sum is 28.

The spelling of 12022212212281 in words is "twelve trillion, twenty-two billion, two hundred twelve million, two hundred twelve thousand, two hundred eighty-one".