8321123424 has 96 divisors (see below), whose sum is σ = 22265832960. Its totient is φ = 2720374272.

The previous prime is 8321123387. The next prime is 8321123477. The reversal of 8321123424 is 4243211238.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×8321123424³ (a number of 31 digits) contains 333 as substring.

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 = 8321123391 and 8321123400.

It is a congruent number.

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, 1534542 + ... + 1539954.

It is an arithmetic number, because the mean of its divisors is an integer number (231935760).

Almost surely, 2^8321123424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8321123424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11132916480).

8321123424 is an abundant number, since it is smaller than the sum of its proper divisors (13944709536).

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

8321123424 is a wasteful number, since it uses less digits than its factorization.

8321123424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5732 (or 5724 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 8321123424 is about 91220.1919752420. The cubic root of 8321123424 is about 2026.4100060670.

The spelling of 8321123424 in words is "eight billion, three hundred twenty-one million, one hundred twenty-three thousand, four hundred twenty-four".