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12122244222161 is a prime number
BaseRepresentation
bin1011000001100110111000…
…0011111000110011010001
31120220212122001011000100012
42300121232003320303101
53042102324010102121
641440514312004305
72360542340525453
oct260315603706321
946825561130305
1012122244222161
113954018923287
121439457090695
1369c17981cb58
142dca10dd42d3
151604d9e2ac5b
hexb066e0f8cd1

12122244222161 has 2 divisors, whose sum is σ = 12122244222162. Its totient is φ = 12122244222160.

The previous prime is 12122244222149. The next prime is 12122244222173. The reversal of 12122244222161 is 16122244222121.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (12122244222149) and next prime (12122244222173).

It can be written as a sum of positive squares in only one way, i.e., 6313565807761 + 5808678414400 = 2512681^2 + 2410120^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122244222161 - 210 = 12122244221137 is a prime.

It is not a weakly prime, because it can be changed into another prime (12122244242161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061122111080 + 6061122111081.

It is an arithmetic number, because the mean of its divisors is an integer number (6061122111081).

Almost surely, 212122244222161 is an apocalyptic number.

It is an amenable number.

12122244222161 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122244222161 is an equidigital number, since it uses as much as digits as its factorization.

12122244222161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12288, while the sum is 32.

Adding to 12122244222161 its reverse (16122244222121), we get a palindrome (28244488444282).

The spelling of 12122244222161 in words is "twelve trillion, one hundred twenty-two billion, two hundred forty-four million, two hundred twenty-two thousand, one hundred sixty-one".