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12211202112229 is a prime number
BaseRepresentation
bin1011000110110010010001…
…0111010011101011100101
31121020101020200010001101101
42301230210113103223211
53100032020220042404
641545425424200101
72400141654234601
oct261544427235345
947211220101341
1012211202112229
11398881827979a
121452742a69031
136a768577cc23
1430304d742501
15162994a592a4
hexb1b245d3ae5

12211202112229 has 2 divisors, whose sum is σ = 12211202112230. Its totient is φ = 12211202112228.

The previous prime is 12211202112191. The next prime is 12211202112233. The reversal of 12211202112229 is 92221120211221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6160472920900 + 6050729191329 = 2482030^2 + 2459823^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211202112229 - 217 = 12211201981157 is a prime.

It is a super-2 number, since 2×122112021122292 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211202112197 and 12211202112206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12211202112269) 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, 6105601056114 + 6105601056115.

It is an arithmetic number, because the mean of its divisors is an integer number (6105601056115).

Almost surely, 212211202112229 is an apocalyptic number.

It is an amenable number.

12211202112229 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211202112229 is an equidigital number, since it uses as much as digits as its factorization.

12211202112229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 12211202112229 in words is "twelve trillion, two hundred eleven billion, two hundred two million, one hundred twelve thousand, two hundred twenty-nine".