GRB 240112***A***, Swift-BAT refined analysis S. D. Barthelmy (GSFC), H. A. Krimm (NSF), S. Laha (GSFC/UMBC), A. Y. Lien (U Tampa), C. B. Markwardt (GSFC), M. J. Moss (GSFC), D. M. Palmer (LANL), T. Parsotan (GSFC), T. Sakamoto (AGU) (i.e. the Swift-BAT team): Using the data set from T-240 to T+962 sec from the recent telemetry downlink, we report further analysis of BAT GRB 240112***A*** (trigger #1208389) (NAME, et al., GCN Circ. xxxx). The BAT ground-calculated position is RA, Dec = 270.642, 24.495 deg which is RA(J2000) = 18h 02m 34.0s Dec(J2000) = +24d 29' 41.5" with an uncertainty of 1.0 arcmin, (radius, sys+stat, 90% containment). The partial coding was 60%. [Description about the mask-weighted light curve] T90 (15-350 keV) is 4.9 +- 0.3 sec (estimated error including systematics). The time-averaged spectrum from T-0.4 to T+7.2 sec is best fit by a power law with an exponential cutoff. This fit gives a photon index 1.48 +- 0.23, and Epeak of 57.2 +- 8.7 keV (chi squared 54.44 for 56 d.o.f.). For this model the total fluence in the 15-150 keV band is 2.4 +- 0.1 x 10^-06 erg/cm2 and the 1-sec peak flux measured from T+0.13 sec in the 15-150 keV band is 12.5 +- 0.5 ph/cm2/sec. A fit to a simple power law gives a photon index of 1.94 +- 0.05 (chi squared 67.00 for 57 d.o.f.). All the quoted errors are at the 90% confidence level. The results of the batgrbproduct analysis are available at http://gcn.gsfc.nasa.gov/notices_s/1208389/BA/