22 × 5 × 7 × 1201
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 1201, 2402, 4804, 6005, 8407, 12010, 16814, 24020, 33628, 42035, 84070 and 168140
No.
Its nearest Fibonacci number neighbors are 121393 and 196418.