127684282992 has 240 divisors, whose sum is σ = 404227342080. Its totient is φ = 34011611136.

The previous prime is 127684282939. The next prime is 127684283003. The reversal of 127684282992 is 299282486721.

It is a super-2 number, since 2×127684282992² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10383984 + ... + 10396272.

It is an arithmetic number, because the mean of its divisors is an integer number (1684280592).

Almost surely, 2^127684282992 is an apocalyptic number.

127684282992 is a gapful number since it is divisible by the number (12) 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 127684282992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202113671040).

127684282992 is an abundant number, since it is smaller than the sum of its proper divisors (276543059088).

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

127684282992 is a wasteful number, since it uses less digits than its factorization.

127684282992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12448 (or 12425 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 60.

The spelling of 127684282992 in words is "one hundred twenty-seven billion, six hundred eighty-four million, two hundred eighty-two thousand, nine hundred ninety-two".