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12022122121001 is a prime number
BaseRepresentation
bin1010111011110001111001…
…0100011000011100101001
31120120022012100202021210022
42232330132110120130221
53033432301230333001
641322515303530225
72350366251645056
oct256743624303451
946508170667708
1012022122121001
11391560a580833
121421b74459975
136928b192c005
142d7c33a6c02d
1515caca12311b
hexaef1e518729

12022122121001 has 2 divisors, whose sum is σ = 12022122121002. Its totient is φ = 12022122121000.

The previous prime is 12022122120991. The next prime is 12022122121021. The reversal of 12022122121001 is 10012122122021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9123782713600 + 2898339407401 = 3020560^2 + 1702451^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12022122121001 is a prime.

It is not a weakly prime, because it can be changed into another prime (12022122121021) 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, 6011061060500 + 6011061060501.

It is an arithmetic number, because the mean of its divisors is an integer number (6011061060501).

Almost surely, 212022122121001 is an apocalyptic number.

It is an amenable number.

12022122121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12022122121001 is an equidigital number, since it uses as much as digits as its factorization.

12022122121001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12022122121001 its reverse (10012122122021), we get a palindrome (22034244243022).

The spelling of 12022122121001 in words is "twelve trillion, twenty-two billion, one hundred twenty-two million, one hundred twenty-one thousand, one".