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12121122121 is a prime number
BaseRepresentation
bin10110100100111100…
…11010010101001001
31011021202000210122221
423102132122111021
5144311001401441
65322433414041
7606241560313
oct132236322511
934252023587
1012121122121
11516006a4a9
12242340a321
1311b2292414
1482db4a7b3
154ae1e88d1
hex2d279a549

12121122121 has 2 divisors, whose sum is σ = 12121122122. Its totient is φ = 12121122120.

The previous prime is 12121122119. The next prime is 12121122127. The reversal of 12121122121 is 12122112121.

12121122121 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., 7361640000 + 4759482121 = 85800^2 + 68989^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121122121 - 21 = 12121122119 is a prime.

Together with 12121122119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 12121122095 and 12121122104.

It is not a weakly prime, because it can be changed into another prime (12121122127) 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, 6060561060 + 6060561061.

It is an arithmetic number, because the mean of its divisors is an integer number (6060561061).

Almost surely, 212121122121 is an apocalyptic number.

It is an amenable number.

12121122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121122121 is an equidigital number, since it uses as much as digits as its factorization.

12121122121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 32, while the sum is 16.

Adding to 12121122121 its reverse (12122112121), we get a palindrome (24243234242).

The spelling of 12121122121 in words is "twelve billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-one".