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12000122201009 is a prime number
BaseRepresentation
bin1010111010011111111100…
…0001010110001110110001
31120111012102011000120001202
42232213333001112032301
53033102222240413014
641304440253140545
72345660133501455
oct256477701261661
946435364016052
1012000122201009
11390725015a278
12141985478a755
136907b6b07587
142d6b47d0c665
1515c23da0d3de
hexae9ff0563b1

12000122201009 has 2 divisors, whose sum is σ = 12000122201010. Its totient is φ = 12000122201008.

The previous prime is 12000122200993. The next prime is 12000122201051. The reversal of 12000122201009 is 90010222100021.

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., 8091976729600 + 3908145471409 = 2844640^2 + 1976903^2 .

It is a cyclic number.

It is not a de Polignac number, because 12000122201009 - 24 = 12000122200993 is a prime.

It is not a weakly prime, because it can be changed into another prime (12000122201059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000061100504 + 6000061100505.

It is an arithmetic number, because the mean of its divisors is an integer number (6000061100505).

Almost surely, 212000122201009 is an apocalyptic number.

It is an amenable number.

12000122201009 is a deficient number, since it is larger than the sum of its proper divisors (1).

12000122201009 is an equidigital number, since it uses as much as digits as its factorization.

12000122201009 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 20.

The spelling of 12000122201009 in words is "twelve trillion, one hundred twenty-two million, two hundred one thousand, nine".