22 × 3 × 31 × 113
1, 2, 3, 4, 6, 12, 31, 62, 93, 113, 124, 186, 226, 339, 372, 452, 678, 1356, 3503, 7006, 10509, 14012, 21018 and 42036
No.
Its nearest Fibonacci number neighbors are 28657 and 46368.