At 11:11 on this day 11/11/11, I snapped screenshots of both the iPad and iPhone featuring Luna.
Of course, the symmetry and homogeneity of the date and time is quite attractive, and unique (at least within a given century). The number 111111 is also interesting when you decompose it into primes:
111111 = 11 * 13 * 3 * 37 * 7
I find the prime factorization quite poetic.
We can also factor the date and time together (11:11:11 on 11/11/11):
111111111111 = 11 * 13 * 3 * 37 * 7 * 101 * 9901
Note quite as poetic as the previous example, but still interesting. In particular, 9901 is interesting as the greatest prime factor for any repeating series of 12 numbers. Other related properties can be seen at the site Prime Curios.