127321841848320 has 3120 divisors, whose sum is σ = 551826818136000. Its totient is φ = 27979768922112.

The previous prime is 127321841848319. The next prime is 127321841848337. The reversal of 127321841848320 is 23848148123721.

127321841848320 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 218 + 418 + 4 + 8 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×127321841848320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 255153991431 + ... + 255153991929.

Almost surely, 2^{127321841848320} is an apocalyptic number.

127321841848320 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 127321841848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275913409068000).

127321841848320 is an abundant number, since it is smaller than the sum of its proper divisors (424504976287680).

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

127321841848320 is an equidigital number, since it uses as much as digits as its factorization.

127321841848320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 127321841848320 in words is "one hundred twenty-seven trillion, three hundred twenty-one billion, eight hundred forty-one million, eight hundred forty-eight thousand, three hundred twenty".