To round the decimal number d = 123.1245 to the nearest hundredth, we consider the digit in the thousandth place, which is 4.

Since 4 is less than 5, we round down, meaning the hundredth place remains unchanged. Thus, d* = 123.12.

To find the value of d* + d, we add the rounded value d* to the original value d:

d* + d = 123.12 + 123.1245 = 246.2445.

Therefore, the value of d* + d is 246.2445.

Hence, the correct option is B.