82112422421128 has 64 divisors (see below), whose sum is σ = 171871869945600. Its totient is φ = 36453995350080.

The previous prime is 82112422421041. The next prime is 82112422421201.

It is a happy number.

82112422421128 is nontrivially palindromic in base 10.

82112422421128 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 75972075 + ... + 77045317.

It is an arithmetic number, because the mean of its divisors is an integer number (2685497967900).

Almost surely, 2^{82112422421128} is an apocalyptic number.

82112422421128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82112422421128 is an abundant number, since it is smaller than the sum of its proper divisors (89759447524472).

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

82112422421128 is a wasteful number, since it uses less digits than its factorization.

82112422421128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093522 (or 1093518 counting only the distinct ones).

The product of its digits is 65536, while the sum is 40.

The spelling of 82112422421128 in words is "eighty-two trillion, one hundred twelve billion, four hundred twenty-two million, four hundred twenty-one thousand, one hundred twenty-eight".