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12211200121 is a prime number
BaseRepresentation
bin10110101111101100…
…00010000001111001
31011112000112020110011
423113312002001321
5200002031400441
65335412221521
7611414326351
oct132766020171
934460466404
1012211200121
1151a69a442a
12244960a8a1
1311c7b40a03
1483bab7b61
154b708d581
hex2d7d82079

12211200121 has 2 divisors, whose sum is σ = 12211200122. Its totient is φ = 12211200120.

The previous prime is 12211200101. The next prime is 12211200161. The reversal of 12211200121 is 12100211221.

12211200121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10002200121 + 2209000000 = 100011^2 + 47000^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211200121 - 217 = 12211069049 is a prime.

It is a super-2 number, since 2×122112001212 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12211200101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105600060 + 6105600061.

It is an arithmetic number, because the mean of its divisors is an integer number (6105600061).

Almost surely, 212211200121 is an apocalyptic number.

It is an amenable number.

12211200121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211200121 is an equidigital number, since it uses as much as digits as its factorization.

12211200121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12211200121 its reverse (12100211221), we get a palindrome (24311411342).

The spelling of 12211200121 in words is "twelve billion, two hundred eleven million, two hundred thousand, one hundred twenty-one".