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12122332133 is a prime number
BaseRepresentation
bin10110100101000110…
…00001101111100101
31011021211022021111012
423102203001233211
5144311304112013
65322515352005
7606255060122
oct132243015745
934254267435
1012122332133
11516081660a
1224238b2605
1311b25c70c2
1482dd83749
154ae3871a8
hex2d28c1be5

12122332133 has 2 divisors, whose sum is σ = 12122332134. Its totient is φ = 12122332132.

The previous prime is 12122332127. The next prime is 12122332147. The reversal of 12122332133 is 33123322121.

12122332133 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., 10479002689 + 1643329444 = 102367^2 + 40538^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122332133 - 218 = 12122069989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12122332099 and 12122332108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12122332433) 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, 6061166066 + 6061166067.

It is an arithmetic number, because the mean of its divisors is an integer number (6061166067).

Almost surely, 212122332133 is an apocalyptic number.

It is an amenable number.

12122332133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122332133 is an equidigital number, since it uses as much as digits as its factorization.

12122332133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 23.

Adding to 12122332133 its reverse (33123322121), we get a palindrome (45245654254).

The spelling of 12122332133 in words is "twelve billion, one hundred twenty-two million, three hundred thirty-two thousand, one hundred thirty-three".