127422316756800 has 252 divisors, whose sum is σ = 487726615647180. Its totient is φ = 31365493309440.

The previous prime is 127422316756799. The next prime is 127422316756849. The reversal of 127422316756800 is 8657613224721.

127422316756800 is a `hidden beast` number, since 1 + 2 + 7 + 42 + 2 + 31 + 6 + 7 + 568 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 101062953216 + 127321253803584 = 317904^2 + 11283672^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 340150185 + ... + 340524584.

It is an arithmetic number, because the mean of its divisors is an integer number (1935423077965).

Almost surely, 2^{127422316756800} is an apocalyptic number.

127422316756800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127422316756800 is an abundant number, since it is smaller than the sum of its proper divisors (360304298890380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127422316756800 is a wasteful number, since it uses less digits than its factorization.

127422316756800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680674810 (or 680674792 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 127422316756800 in words is "one hundred twenty-seven trillion, four hundred twenty-two billion, three hundred sixteen million, seven hundred fifty-six thousand, eight hundred".