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12221020111009 is a prime number
BaseRepresentation
bin1011000111010110110110…
…0100000000000010100001
31121021022120220102001202211
42301311231210000002201
53100212122122023014
641554131550042121
72400640161655003
oct261655544000241
947238526361684
1012221020111009
1139919a6284576
121454622aa9341
136a858b845668
1430370164a373
15162d6b965cc4
hexb1d6d9000a1

12221020111009 has 2 divisors, whose sum is σ = 12221020111010. Its totient is φ = 12221020111008.

The previous prime is 12221020110917. The next prime is 12221020111021. The reversal of 12221020111009 is 90011102012221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9227791401984 + 2993228709025 = 3037728^2 + 1730095^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221020111009 - 223 = 12221011722401 is a prime.

It is not a weakly prime, because it can be changed into another prime (12221020151009) 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, 6110510055504 + 6110510055505.

It is an arithmetic number, because the mean of its divisors is an integer number (6110510055505).

Almost surely, 212221020111009 is an apocalyptic number.

It is an amenable number.

12221020111009 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221020111009 is an equidigital number, since it uses as much as digits as its factorization.

12221020111009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 12221020111009 in words is "twelve trillion, two hundred twenty-one billion, twenty million, one hundred eleven thousand, nine".