LMV324 particular characteristic?
I doubt the LMV324 is common. It is almost rail to rail, but it is uncommon. The LM324 (and LM358) are common. They are low power, and can work on single ended supply. It also goes closer to ground than the LMV324.

The selling point of a component is often found in bold letters near the top of the front page in the datasheet.

added

The datasheet schematic shows a mosfet tied to positive rail, which helps it to achieve a higher output voltage than the LM324. This is a specialty for the LMV324 opamp.

The LMV324 has CMRR and PSRR of 65 and 60 db. The LM324 has 85 and 100 db. So LM324 is clearly better. Output low for LMV324 is 65 mv (180 mv max). For LM324 is 5 mV (20 mV max). So again LM324 is better. This makes the LM324 desirable and extremely common. The price is also low.

Only thing LMV324 can do is get to 10 mV of Vcc, while LM324 needs about 2 V (1.5 V typical) headroom. This is not generally an important enough requirement to sacrifice lower output low voltage. The LMV324 thus costs about 10 times as much, and is not common.

However, the most important practical difference between the LMV324 and LM324 is probably the 4th point on the LMV324 datasheet.... low crossover distortion. Lack of proper biasing in the LM324 output transistors leads to a small crossover distortion. The feedback in the LMV324 reduces this.