Sum of Summations

Algebra Level 3

\[ \sum _{ n=1 }^{ 12 }{ { n }^{ 2 } } +\sum _{ n=2 }^{ 12 }{ { n }^{ 2 } } +\sum _{ n=3 }^{ 12 }{ { n }^{ 2 } } +\cdots+\sum _{ n=11 }^{ 12 }{ { n }^{ 2 } } +\sum _{ n=12 }^{ 12 }{ { n }^{ 2 } } = \, ? \]

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