A higher-order Trotterization can reduce the Trotter error in digital quantum simulation. Quantum many-body spin dynamics of the transverse-field Ising model are simulated to study second-order symmetric Trotterization in terms of Trotter error. The work presents a pedagogical way to use a real quantum computer, and the prototype superconducting quantum device evaluates the symmetric Trotterization. The finding shows that apart from quantum errors like logical gate error and readout error, higher-order Trotterization should be used with caution, and the Trotter error would play a minor role in early implementations of noisy intermediate-scale quantum (NISQ) devices.