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12022121103329 is a prime number
BaseRepresentation
bin1010111011110001111001…
…0000011111111111100001
31120120022012021211120210202
42232330132100133333201
53033432301000301304
641322515230034545
72350366240206101
oct256743620377741
946508167746722
1012022121103329
113915609a46187
121421b74048a55
136928b1663a3c
142d7c33885201
1515cac9ec181e
hexaef1e41ffe1

12022121103329 has 2 divisors, whose sum is σ = 12022121103330. Its totient is φ = 12022121103328.

The previous prime is 12022121103263. The next prime is 12022121103347. The reversal of 12022121103329 is 92330112122021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12010889342929 + 11231760400 = 3465673^2 + 105980^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12022121103329 is a prime.

It is not a weakly prime, because it can be changed into another prime (12022121103379) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6011060551664 + 6011060551665.

It is an arithmetic number, because the mean of its divisors is an integer number (6011060551665).

Almost surely, 212022121103329 is an apocalyptic number.

It is an amenable number.

12022121103329 is a deficient number, since it is larger than the sum of its proper divisors (1).

12022121103329 is an equidigital number, since it uses as much as digits as its factorization.

12022121103329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 12022121103329 in words is "twelve trillion, twenty-two billion, one hundred twenty-one million, one hundred three thousand, three hundred twenty-nine".