12304019632224 has 192 divisors, whose sum is σ = 33438847776768. Its totient is φ = 3957274828800.

The previous prime is 12304019632187. The next prime is 12304019632231. The reversal of 12304019632224 is 42223691040321.

It is a super-2 number, since 2×12304019632224² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3377439747 + ... + 3377443389.

It is an arithmetic number, because the mean of its divisors is an integer number (174160665504).

Almost surely, 2^{12304019632224} 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 12304019632224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16719423888384).

12304019632224 is an abundant number, since it is smaller than the sum of its proper divisors (21134828144544).

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

12304019632224 is a wasteful number, since it uses less digits than its factorization.

12304019632224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6741 (or 6733 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 12304019632224 in words is "twelve trillion, three hundred four billion, nineteen million, six hundred thirty-two thousand, two hundred twenty-four".