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12212211021193 is a prime number
BaseRepresentation
bin1011000110110110000001…
…1111111111010110001001
31121020110211222112221022001
42301231200133333112021
53100041102010134233
641550113504431001
72400205654642261
oct261554037772611
947213758487261
1012212211021193
113989195827a57
121452984918461
136a77b67b9191
1430310772c7a1
15162a033ea27d
hexb1b607ff589

12212211021193 has 2 divisors, whose sum is σ = 12212211021194. Its totient is φ = 12212211021192.

The previous prime is 12212211021191. The next prime is 12212211021223. The reversal of 12212211021193 is 39112011221221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11034534617929 + 1177676403264 = 3321827^2 + 1085208^2 .

It is a cyclic number.

It is not a de Polignac number, because 12212211021193 - 21 = 12212211021191 is a prime.

It is a super-2 number, since 2×122122110211932 (a number of 27 digits) contains 22 as substring.

Together with 12212211021191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12212211021191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6106105510596 + 6106105510597.

It is an arithmetic number, because the mean of its divisors is an integer number (6106105510597).

Almost surely, 212212211021193 is an apocalyptic number.

It is an amenable number.

12212211021193 is a deficient number, since it is larger than the sum of its proper divisors (1).

12212211021193 is an equidigital number, since it uses as much as digits as its factorization.

12212211021193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 28.

The spelling of 12212211021193 in words is "twelve trillion, two hundred twelve billion, two hundred eleven million, twenty-one thousand, one hundred ninety-three".