127318820640000 has 2880 divisors, whose sum is σ = 508946385024000. Its totient is φ = 27900149760000.

The previous prime is 127318820639887. The next prime is 127318820640017. The reversal of 127318820640000 is 46028813721.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 311292959796 + ... + 311292960204.

It is an arithmetic number, because the mean of its divisors is an integer number (176717494800).

Almost surely, 2^{127318820640000} is an apocalyptic number.

127318820640000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127318820640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254473192512000).

127318820640000 is an abundant number, since it is smaller than the sum of its proper divisors (381627564384000).

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

127318820640000 is a wasteful number, since it uses less digits than its factorization.

127318820640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 127318820640000 in words is "one hundred twenty-seven trillion, three hundred eighteen billion, eight hundred twenty million, six hundred forty thousand".