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122231133121 is a prime number
BaseRepresentation
bin111000111010110001…
…0110001001111000001
3102200111111102220202111
41301311202301033001
54000312132224441
6132052513215321
711555000326456
oct1616542611701
9380444386674
10122231133121
1147924319499
121b832b61541
13b6ac4c9696
145cb77a982d
1532a5cc2081
hex1c758b13c1

122231133121 has 2 divisors, whose sum is σ = 122231133122. Its totient is φ = 122231133120.

The previous prime is 122231133119. The next prime is 122231133133. The reversal of 122231133121 is 121331132221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99840200625 + 22390932496 = 315975^2 + 149636^2 .

It is a cyclic number.

It is not a de Polignac number, because 122231133121 - 21 = 122231133119 is a prime.

Together with 122231133119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 122231133092 and 122231133101.

It is not a weakly prime, because it can be changed into another prime (122231133161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61115566560 + 61115566561.

It is an arithmetic number, because the mean of its divisors is an integer number (61115566561).

Almost surely, 2122231133121 is an apocalyptic number.

It is an amenable number.

122231133121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122231133121 is an equidigital number, since it uses as much as digits as its factorization.

122231133121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 432, while the sum is 22.

Adding to 122231133121 its reverse (121331132221), we get a palindrome (243562265342).

The spelling of 122231133121 in words is "one hundred twenty-two billion, two hundred thirty-one million, one hundred thirty-three thousand, one hundred twenty-one".