12,960,000

Number

$12 \, 960 \, 000$ is:

$2^8 \times 3^4 \times 5^4$

The $60$th fourth power:

$12 \, 960 \, 000 = 60 \times 60 \times 60 \times 60$

The $3600$th square number:

$12 \, 960 \, 000 = 3600 \times 3600$

$12 \, 960 \, 000$ is one of the two numbers (the other being $216$) generally believed to be Plato's geometrical number:

... which has control over the good and evil of births.

-- Plato's Republic: $546$

It can be arrived at either by noting that it is $60^4$ or that it is $4800 \times 2700$

A great year of Plato is a time period of $36 \, 000$ years.

If one year is specified as being $360$ days, as it was by Plato, then a great year is $12 \, 960 \, 000$ days.

Note, however, that there is no indication that Plato ever mentioned it.