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12211201022221 is a prime number
BaseRepresentation
bin1011000110110010010001…
…0011001001100100001101
31121020101020121001200011201
42301230210103021210031
53100032014430202341
641545425344545501
72400141642044665
oct261544423114415
947211217050151
1012211201022221
1139888176a4863
121452742622291
136a768548aa56
1430304d53b1a5
151629948e1331
hexb1b244c990d

12211201022221 has 2 divisors, whose sum is σ = 12211201022222. Its totient is φ = 12211201022220.

The previous prime is 12211201022219. The next prime is 12211201022239. The reversal of 12211201022221 is 12222010211221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8359696646596 + 3851504375625 = 2891314^2 + 1962525^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211201022221 - 21 = 12211201022219 is a prime.

It is a super-2 number, since 2×122112010222212 (a number of 27 digits) contains 22 as substring.

Together with 12211201022219, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12211201022201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105600511110 + 6105600511111.

It is an arithmetic number, because the mean of its divisors is an integer number (6105600511111).

Almost surely, 212211201022221 is an apocalyptic number.

It is an amenable number.

12211201022221 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211201022221 is an equidigital number, since it uses as much as digits as its factorization.

12211201022221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 12211201022221 its reverse (12222010211221), we get a palindrome (24433211233442).

The spelling of 12211201022221 in words is "twelve trillion, two hundred eleven billion, two hundred one million, twenty-two thousand, two hundred twenty-one".