8211200021128 has 64 divisors (see below), whose sum is σ = 16645273666560. Its totient is φ = 3774938624256.

The previous prime is 8211200021117. The next prime is 8211200021191.

8211200021128 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8211200021096 and 8211200021105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454225626 + ... + 454243702.

It is an arithmetic number, because the mean of its divisors is an integer number (260082401040).

Almost surely, 2^{8211200021128} is an apocalyptic number.

It is an amenable number.

8211200021128 is an abundant number, since it is smaller than the sum of its proper divisors (8434073645432).

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

8211200021128 is a wasteful number, since it uses less digits than its factorization.

8211200021128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34966 (or 34962 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 28.

It can be divided in two parts, 82112000 and 21128, that added together give a palindrome (82133128).

The spelling of 8211200021128 in words is "eight trillion, two hundred eleven billion, two hundred million, twenty-one thousand, one hundred twenty-eight".