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How do I solve the integral over four spherical harmonics?

I want to solve this integral

Integrate[
SphericalHarmonicY[l, m, o, p]*SphericalHarmonicY[l, n, o, p]*
SphericalHarmonicY[l, i, o, p]*SphericalHarmonicY[l, j, o, p], {o, 
0, Pi}, {p, 0, 2 Pi}]

but mathematica doesn't give me an answer. I also tried: (simplified in terms of Legendre polynomials and exponential)

Integrate[
Integrate[
LegendreP[l, m, o]*LegendreP[l, n, o]*LegendreP[l, i, o]*
LegendreP[l, j, o]*Exp[I*(m - n - i + j)], {o, 0, Pi}], {p, 0, 
2 Pi}]

But still no helpful answer, can anybody help me with this?