Let L-n denote the linear hexagonal chain containing n hexagons. Then identifying the opposite lateral edges of L-n in ordered way yields TUHC[2n,2], the zigzag polyhex nanotube, whereas identifying those of L-n in reversed way yields M-n, the hexagonal Mobius chain. In this article, we first obtain the explicit formulae of the multiplicative degree-Kirchhoff index, the Kemeny's invariant, the total number of spanning trees of TUHC[2n,2], respectively. Then we show that the multiplicative degree-Kirchhoff index of TUHC[2n,2] is approximately one-third of its Gutman index. Based on these obtain...