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12201222212009 is a prime number
BaseRepresentation
bin1011000110001101000110…
…0001000000100110101001
31121012102111011011120222022
42301203101201000212221
53044401100341241014
641541055240234225
72366336442415565
oct261432141004651
947172434146868
1012201222212009
113984566942a76
12145081876b975
136a6754cac41c
143027841326a5
151625ad81ba8e
hexb18d18409a9

12201222212009 has 2 divisors, whose sum is σ = 12201222212010. Its totient is φ = 12201222212008.

The previous prime is 12201222211951. The next prime is 12201222212029. The reversal of 12201222212009 is 90021222210221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9599462890000 + 2601759322009 = 3098300^2 + 1612997^2 .

It is a cyclic number.

It is not a de Polignac number, because 12201222212009 - 28 = 12201222211753 is a prime.

It is not a weakly prime, because it can be changed into another prime (12201222212029) 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, 6100611106004 + 6100611106005.

It is an arithmetic number, because the mean of its divisors is an integer number (6100611106005).

Almost surely, 212201222212009 is an apocalyptic number.

It is an amenable number.

12201222212009 is a deficient number, since it is larger than the sum of its proper divisors (1).

12201222212009 is an equidigital number, since it uses as much as digits as its factorization.

12201222212009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 12201222212009 in words is "twelve trillion, two hundred one billion, two hundred twenty-two million, two hundred twelve thousand, nine".