821222222128 has 40 divisors (see below), whose sum is σ = 1983731604480. Its totient is φ = 319956709440.

The previous prime is 821222222011. The next prime is 821222222147.

821222222128 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 821222222093 and 821222222102.

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 7 ways as a sum of consecutive naturals, for example, 333287008 + ... + 333289471.

It is an arithmetic number, because the mean of its divisors is an integer number (49593290112).

Almost surely, 2^821222222128 is an apocalyptic number.

821222222128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

821222222128 is an abundant number, since it is smaller than the sum of its proper divisors (1162509382352).

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

821222222128 is a wasteful number, since it uses less digits than its factorization.

821222222128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666576505 (or 666576499 counting only the distinct ones).

The product of its digits is 16384, while the sum is 34.

The spelling of 821222222128 in words is "eight hundred twenty-one billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty-eight".