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12033300312221 is a prime number
BaseRepresentation
bin1010111100011011100010…
…0101110011000010011101
31120121101001101111020102112
42233012320211303002131
53034123144334442341
641332004415203405
72351243254003616
oct257067045630235
946541041436375
1012033300312221
11391a3263562a1
121424173b16565
13693973746146
142d85b4484c0d
1515d03165eaeb
hexaf1b897309d

12033300312221 has 2 divisors, whose sum is σ = 12033300312222. Its totient is φ = 12033300312220.

The previous prime is 12033300312197. The next prime is 12033300312223. The reversal of 12033300312221 is 12221300333021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9492499380100 + 2540800932121 = 3080990^2 + 1593989^2 .

It is a cyclic number.

It is not a de Polignac number, because 12033300312221 - 226 = 12033233203357 is a prime.

Together with 12033300312223, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12033300312223) 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, 6016650156110 + 6016650156111.

It is an arithmetic number, because the mean of its divisors is an integer number (6016650156111).

Almost surely, 212033300312221 is an apocalyptic number.

It is an amenable number.

12033300312221 is a deficient number, since it is larger than the sum of its proper divisors (1).

12033300312221 is an equidigital number, since it uses as much as digits as its factorization.

12033300312221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 12033300312221 its reverse (12221300333021), we get a palindrome (24254600645242).

The spelling of 12033300312221 in words is "twelve trillion, thirty-three billion, three hundred million, three hundred twelve thousand, two hundred twenty-one".