difficulty formula, solomining in a -qt client

[drakoin]

I am trying out different things, to understand it better.

Solomining in a -qt client, and help ... debug ... console
setgenerate true
getmininginfo

I get this:
"difficulty" : 0.35722852
"hashespersec" : 1222

Now I am wondering if anyone can explain the maths to me ... with that difficulty, and hashrate, what is the expected time until I find coins? How do I calculate the (difficulty, hashrate, time) relation?

Thx

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P.S.: The full output is:

{
"blocks" : 846848,
"currentblocksize" : 0,
"currentblocktx" : 0,
"difficulty" : 0.35722852,
"errors" : "",
"generate" : false,
"genproclimit" : -1,
"hashespersec" : 0,
"networkhashps" : 61597248,
"pooledtx" : 0,
"testnet" : false
}