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12211220221201 is a prime number
BaseRepresentation
bin1011000110110010010101…
…1100011000110100010001
31121020101021221012002020001
42301230211130120310101
53100032034334034301
641545431312250001
72400142264166461
oct261544534306421
947211257162201
1012211220221201
113988827518291
121452748b40901
136a76894506b1
14303051cd7ba1
15162996434c01
hexb1b25718d11

12211220221201 has 2 divisors, whose sum is σ = 12211220221202. Its totient is φ = 12211220221200.

The previous prime is 12211220221073. The next prime is 12211220221217. The reversal of 12211220221201 is 10212202211221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6856809339601 + 5354410881600 = 2618551^2 + 2313960^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211220221201 - 27 = 12211220221073 is a prime.

It is a super-2 number, since 2×122112202212012 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12211220221231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105610110600 + 6105610110601.

It is an arithmetic number, because the mean of its divisors is an integer number (6105610110601).

Almost surely, 212211220221201 is an apocalyptic number.

It is an amenable number.

12211220221201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211220221201 is an equidigital number, since it uses as much as digits as its factorization.

12211220221201 is an evil number, because the sum of its binary digits is even.

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

Adding to 12211220221201 its reverse (10212202211221), we get a palindrome (22423422432422).

The spelling of 12211220221201 in words is "twelve trillion, two hundred eleven billion, two hundred twenty million, two hundred twenty-one thousand, two hundred one".