12322243200 has 384 divisors, whose sum is σ = 42189174720. Its totient is φ = 3158507520.

The previous prime is 12322243183. The next prime is 12322243211. The reversal of 12322243200 is 234222321.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40137447 + ... + 40137753.

Almost surely, 2^12322243200 is an apocalyptic number.

12322243200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12322243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21094587360).

12322243200 is an abundant number, since it is smaller than the sum of its proper divisors (29866931520).

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

12322243200 is a wasteful number, since it uses less digits than its factorization.

12322243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 12322243200 its reverse (234222321), we get a palindrome (12556465521).

The spelling of 12322243200 in words is "twelve billion, three hundred twenty-two million, two hundred forty-three thousand, two hundred".