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122141143121 is a prime number
BaseRepresentation
bin111000111000000101…
…1011111000001010001
3102200021020002221200112
41301300023133001101
54000121113034441
6132035540331105
711552525405114
oct1616013370121
9380236087615
10122141143121
1147888544698
121b8089a3a95
13b69697c16a
145ca986257b
15329ce484eb
hex1c702df051

122141143121 has 2 divisors, whose sum is σ = 122141143122. Its totient is φ = 122141143120.

The previous prime is 122141143093. The next prime is 122141143127. The reversal of 122141143121 is 121341141221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74686877521 + 47454265600 = 273289^2 + 217840^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122141143121 is a prime.

It is not a weakly prime, because it can be changed into another prime (122141143127) 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, 61070571560 + 61070571561.

It is an arithmetic number, because the mean of its divisors is an integer number (61070571561).

Almost surely, 2122141143121 is an apocalyptic number.

It is an amenable number.

122141143121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122141143121 is an equidigital number, since it uses as much as digits as its factorization.

122141143121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 384, while the sum is 23.

Adding to 122141143121 its reverse (121341141221), we get a palindrome (243482284342).

The spelling of 122141143121 in words is "one hundred twenty-two billion, one hundred forty-one million, one hundred forty-three thousand, one hundred twenty-one".