127108077213312 has 320 divisors, whose sum is σ = 407993517245160. Its totient is φ = 39050257489920.

The previous prime is 127108077213283. The next prime is 127108077213317. The reversal of 127108077213312 is 213312770801721.

127108077213312 is a `hidden beast` number, since 12 + 7 + 108 + 0 + 7 + 7 + 213 + 312 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76405360712256 + 50702716501056 = 8741016^2 + 7120584^2 .

It is not an unprimeable number, because it can be changed into a prime (127108077213317) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 87291862 + ... + 88736042.

Almost surely, 2^{127108077213312} is an apocalyptic number.

127108077213312 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 127108077213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203996758622580).

127108077213312 is an abundant number, since it is smaller than the sum of its proper divisors (280885440031848).

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

127108077213312 is a wasteful number, since it uses less digits than its factorization.

127108077213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444873 (or 1444852 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 127108077213312 in words is "one hundred twenty-seven trillion, one hundred eight billion, seventy-seven million, two hundred thirteen thousand, three hundred twelve".