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12211006121 is a prime number
BaseRepresentation
bin10110101111101010…
…10010101010101001
31011112000011101022222
423113311102222221
5200002004143441
65335404123425
7611412560636
oct132765225251
934460141288
1012211006121
1151a68816a6
122449536575
1311c7aa3612
1483ba6718d
154b7050d4b
hex2d7d52aa9

12211006121 has 2 divisors, whose sum is σ = 12211006122. Its totient is φ = 12211006120.

The previous prime is 12211006091. The next prime is 12211006139. The reversal of 12211006121 is 12160011221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10417060096 + 1793946025 = 102064^2 + 42355^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211006121 - 26 = 12211006057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12211006121.

It is not a weakly prime, because it can be changed into another prime (12211006021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105503060 + 6105503061.

It is an arithmetic number, because the mean of its divisors is an integer number (6105503061).

Almost surely, 212211006121 is an apocalyptic number.

It is an amenable number.

12211006121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211006121 is an equidigital number, since it uses as much as digits as its factorization.

12211006121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 12211006121 its reverse (12160011221), we get a palindrome (24371017342).

It can be divided in two parts, 1221100 and 6121, that added together give a palindrome (1227221).

The spelling of 12211006121 in words is "twelve billion, two hundred eleven million, six thousand, one hundred twenty-one".