12321038912 has 224 divisors, whose sum is σ = 31952793600. Its totient is φ = 4580370432.

The previous prime is 12321038909. The next prime is 12321038921. The reversal of 12321038912 is 21983012321.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7902389 + ... + 7903947.

It is an arithmetic number, because the mean of its divisors is an integer number (142646400).

Almost surely, 2^12321038912 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 12321038912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15976396800).

12321038912 is an abundant number, since it is smaller than the sum of its proper divisors (19631754688).

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

12321038912 is a wasteful number, since it uses less digits than its factorization.

12321038912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 12321038912 in words is "twelve billion, three hundred twenty-one million, thirty-eight thousand, nine hundred twelve".