$$ \mu = \frac{m_H m_I}{m_H + m_I} $$
where $m_H = 1.0078 \, amu$ and $m_I = 125.904 \, amu$.
$$ \mu = \frac{1.0078 \times 125.904}{1.0078 + 125.904} = \frac{126.885}{126.9118} = 1.000 \, amu $$
Convert amu to kg: $1 \, amu = 1.66054 \times 10^{-27} \, kg$
$$ \mu
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