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12212120033 is a prime number
BaseRepresentation
bin10110101111110011…
…00010100111100001
31011112002020222022222
423113321202213201
5200002300320113
65335444040425
7611425210331
oct132771424741
934462228288
1012212120033
1151a7472593
122449993115
1311c80a3639
1483bc770c1
154b71c0e08
hex2d7e629e1

12212120033 has 2 divisors, whose sum is σ = 12212120034. Its totient is φ = 12212120032.

The previous prime is 12212120003. The next prime is 12212120069. The reversal of 12212120033 is 33002121221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9268297984 + 2943822049 = 96272^2 + 54257^2 .

It is a cyclic number.

It is not a de Polignac number, because 12212120033 - 210 = 12212119009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12212119993 and 12212120020.

It is not a weakly prime, because it can be changed into another prime (12212120003) 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, 6106060016 + 6106060017.

It is an arithmetic number, because the mean of its divisors is an integer number (6106060017).

Almost surely, 212212120033 is an apocalyptic number.

It is an amenable number.

12212120033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12212120033 is an equidigital number, since it uses as much as digits as its factorization.

12212120033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12212120033 its reverse (33002121221), we get a palindrome (45214241254).

The spelling of 12212120033 in words is "twelve billion, two hundred twelve million, one hundred twenty thousand, thirty-three".