Program not working but should - Ceaser Cipher with alphabet

So programming the homework when it breaks at an if statement
Code:
#include <iostream>

#include <string>

using namespace std;



int main() //Caesar Cipher

{

int x = 0;

string word;

cout << "Please enter a word" << endl;

cin >> word;

cout << "Please enter an offset" << endl;

cin >> x;

for (int i = 0; i < word.length(); i++)

word = word + x;

if (word > 122)

{

word = word - 26;

}

cout << word;

return 0;

}


Thanks for the help