127882288721 has 16 divisors (see below), whose sum is σ = 142045470720. Its totient is φ = 114146832720.

The previous prime is 127882288717. The next prime is 127882288777.

127882288721 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 127882288721 - 2² = 127882288717 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127882288321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 414416 + ... + 653838.

It is an arithmetic number, because the mean of its divisors is an integer number (8877841920).

Almost surely, 2^127882288721 is an apocalyptic number.

127882288721 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

127882288721 is a deficient number, since it is larger than the sum of its proper divisors (14163181999).

127882288721 is a wasteful number, since it uses less digits than its factorization.

127882288721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240316.

The product of its digits is 3211264, while the sum is 56.

The spelling of 127882288721 in words is "one hundred twenty-seven billion, eight hundred eighty-two million, two hundred eighty-eight thousand, seven hundred twenty-one".