The Mizuho financial group, hit by serious computer problems upon the launch of its two banks at the beginning of April, completed 12 million settlements Tuesday, the largest number of daily online transactions handled by a bank.

Officials at Mizuho Holdings Inc. said Mizuho Bank and Mizuho Corporate Bank smoothly processed money transfers and automated teller machines ran without a hitch since early in the morning, completing almost all of the planned transactions by noon.

The group has said it hopes to be able to proclaim in May that it has resolved the glitches. To do so, it will have to successfully handle the Golden Week avalanche of transactions, which will continue through today, a test that could also decide whether the public will trust it with its hard-earned cash and, by extension, the fate of the group itself.