821112323211128 has 32 divisors (see below), whose sum is σ = 1659112565009760. Its totient is φ = 378724107665280.

The previous prime is 821112323211071. The next prime is 821112323211139.

821112323211128 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 821112323211091 and 821112323211100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2612453975 + ... + 2612768262.

It is an arithmetic number, because the mean of its divisors is an integer number (51847267656555).

Almost surely, 2^{821112323211128} is an apocalyptic number.

It is an amenable number.

821112323211128 is an abundant number, since it is smaller than the sum of its proper divisors (838000241798632).

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

821112323211128 is a wasteful number, since it uses less digits than its factorization.

821112323211128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5225223767 (or 5225223763 counting only the distinct ones).

The product of its digits is 18432, while the sum is 38.

The spelling of 821112323211128 in words is "eight hundred twenty-one trillion, one hundred twelve billion, three hundred twenty-three million, two hundred eleven thousand, one hundred twenty-eight".