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Recently, a new family of iron-based superconductors called 12442 wasdiscovered and the muon spin relaxation ($\mu$SR) measurements onKCa$_2$Fe$_4$As$_4$F$_2$ and CsCa$_2$Fe$_4$As$_4$F$_2$ polycrystals, twomembers of the family, indicated that both have a nodal superconducting gapstructure with $s+d$ pairing symmetry. Here we report the ultralow-temperaturethermal conductivity measurements on CsCa$_2$Fe$_4$As$_4$F$_2$ single crystals($T_c$ = 29.3 K). A negligible residual linear term $\kappa_0/T$ in zero fieldand the field dependence of $\kappa_0/T$ suggest multiple nodelesssuperconducting gaps in CsCa$_2$Fe$_4$As$_4$F$_2$. This gap structure issimilar to CaKFe$_4$As$_4$ and moderately doped Ba$_{1-x}$K$_x$Fe$_2$As$_2$,but contrasts to the nodal gap structure indicated by the $\mu$SR measurementson CsCa$_2$Fe$_4$As$_4$F$_2$ polycrystals.

Multigap nodeless superconductivity in CsCa2Fe4As4F2 probed by heat transport