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12226101221 is a prime number
BaseRepresentation
bin10110110001011101…
…10111111111100101
31011120001120021220202
423120232313333211
5200014340214341
65341103440245
7611655100655
oct133056677745
934501507822
1012226101221
115204351894
1224525b6085
1311cac5a329
1483da76365
154b853379b
hex2d8bb7fe5

12226101221 has 2 divisors, whose sum is σ = 12226101222. Its totient is φ = 12226101220.

The previous prime is 12226101169. The next prime is 12226101233. The reversal of 12226101221 is 12210162221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8305588225 + 3920512996 = 91135^2 + 62614^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12226101221 is a prime.

It is a super-2 number, since 2×122261012212 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12226101193 and 12226101202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12226121221) 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, 6113050610 + 6113050611.

It is an arithmetic number, because the mean of its divisors is an integer number (6113050611).

Almost surely, 212226101221 is an apocalyptic number.

It is an amenable number.

12226101221 is a deficient number, since it is larger than the sum of its proper divisors (1).

12226101221 is an equidigital number, since it uses as much as digits as its factorization.

12226101221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 12226101221 its reverse (12210162221), we get a palindrome (24436263442).

The spelling of 12226101221 in words is "twelve billion, two hundred twenty-six million, one hundred one thousand, two hundred twenty-one".