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12122122011133 is a prime number
BaseRepresentation
bin1011000001100110011011…
…0001101100000111111101
31120220212022112012001022211
42300121212301230013331
53042102101213324013
641440454224340421
72360536324665211
oct260314661540775
946825275161284
1012122122011133
113953a65941332
121439422174711
1369c15a400734
142dc9dcaa0941
151604ce33a23d
hexb0666c6c1fd

12122122011133 has 2 divisors, whose sum is σ = 12122122011134. Its totient is φ = 12122122011132.

The previous prime is 12122122011107. The next prime is 12122122011283. The reversal of 12122122011133 is 33111022122121.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11611008545049 + 511113466084 = 3407493^2 + 714922^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12122122011133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12122122011533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061061005566 + 6061061005567.

It is an arithmetic number, because the mean of its divisors is an integer number (6061061005567).

Almost surely, 212122122011133 is an apocalyptic number.

It is an amenable number.

12122122011133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122122011133 is an equidigital number, since it uses as much as digits as its factorization.

12122122011133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 12122122011133 its reverse (33111022122121), we get a palindrome (45233144133254).

The spelling of 12122122011133 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-two million, eleven thousand, one hundred thirty-three".