823121121328 has 20 divisors (see below), whose sum is σ = 1739778734088. Its totient is φ = 374145964160.

The previous prime is 823121121307. The next prime is 823121121353.

823121121328 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×823121121328³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 823121121293 and 823121121302.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2338412101 + ... + 2338412452.

Almost surely, 2^823121121328 is an apocalyptic number.

823121121328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

823121121328 is an abundant number, since it is smaller than the sum of its proper divisors (916657612760).

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

823121121328 is a wasteful number, since it uses less digits than its factorization.

823121121328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4676824572 (or 4676824566 counting only the distinct ones).

The product of its digits is 9216, while the sum is 34.

It can be divided in two parts, 823121 and 121328, that added together give a palindrome (944449).

The spelling of 823121121328 in words is "eight hundred twenty-three billion, one hundred twenty-one million, one hundred twenty-one thousand, three hundred twenty-eight".