What is the difference between dk125 and dk124 off-line switching power supply control chips?

there is no functional difference between the two chips.

DK124 is an off-line switching power supply chip with a maximum output power of 24W. Different from the combination of PWM controller and external discrete power MOS, DK124 integrates PWM controller, 7V power tube and primary peak current detection circuit internally, and adopts patented self-power supply technology that can omit auxiliary power supply winding, thus greatly simplifying peripheral application circuits, reducing the number of components, circuit size and weight, and is especially suitable for cost-sensitive flyback switching power supply.

DK 125 is a secondary feedback, flyback AC-DC off-line switching power supply control chip. The chip is designed with highly integrated CMOS circuit, which has the protection functions of output short circuit, secondary open circuit, over-temperature and over-voltage. The chip has built-in high-voltage power tube and self-power supply circuit, which has the characteristics of few peripheral components and simple transformer design (transformer does not need power supply winding).