I would simply fetch the page as a string (not html) and use a regular expression to get the total number of results. The code would look something like this:
define('MAX_RESULT_ALL_PAGES', 1200);
$queryUrl = AMAZON_TOTAL_BOOKS_COUNT . $searchMonthUrlParam . $searchYearUrlParam . $searchTypeUrlParam . urlencode($keyword) . '&page=' . $pageNum;
$queryResult = file_get_contents($queryUrl);
if (preg_match('/of\s+([0-9,]+)\s+Results/', $queryResult, $matches)) {
$totalResults = (int) str_replace(',', '', $matches[1]);
} else {
throw new \RuntimeException('Total number of results not found');
}
if ($totalResults > MAX_RESULT_ALL_PAGES) {
$queryUrl = AMAZON_SEARCH_URL . $searchMonthUrlParam . $searchYearUrlParam . $searchTypeUrlParam . urlencode($keyword) . '&page=' . $pageNum;
// ...
}