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12121122311 is a prime number
BaseRepresentation
bin10110100100111100…
…11010011000000111
31011021202000210220222
423102132122120013
5144311001403221
65322433414555
7606241561004
oct132236323007
934252023828
1012121122311
11516006a661
12242340a45b
1311b229252c
1482db4a8ab
154ae1e89ab
hex2d279a607

12121122311 has 2 divisors, whose sum is σ = 12121122312. Its totient is φ = 12121122310.

The previous prime is 12121122259. The next prime is 12121122317. The reversal of 12121122311 is 11322112121.

It is a happy number.

12121122311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12121122311 is a prime.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12121122311.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12121122317) 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, 6060561155 + 6060561156.

It is an arithmetic number, because the mean of its divisors is an integer number (6060561156).

Almost surely, 212121122311 is an apocalyptic number.

12121122311 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121122311 is an equidigital number, since it uses as much as digits as its factorization.

12121122311 is an odious number, because the sum of its binary digits is odd.

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

Adding to 12121122311 its reverse (11322112121), we get a palindrome (23443234432).

The spelling of 12121122311 in words is "twelve billion, one hundred twenty-one million, one hundred twenty-two thousand, three hundred eleven".