12321233516400 has 240 divisors, whose sum is σ = 39843624606720. Its totient is φ = 3254496537600.

The previous prime is 12321233516381. The next prime is 12321233516467. The reversal of 12321233516400 is 461533212321.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 474921829 + ... + 474947771.

It is an arithmetic number, because the mean of its divisors is an integer number (166015102528).

Almost surely, 2^{12321233516400} is an apocalyptic number.

12321233516400 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 12321233516400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19921812303360).

12321233516400 is an abundant number, since it is smaller than the sum of its proper divisors (27522391090320).

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

12321233516400 is a wasteful number, since it uses less digits than its factorization.

12321233516400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29704 (or 29693 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 12321233516400 its reverse (461533212321), we get a palindrome (12782766728721).

The spelling of 12321233516400 in words is "twelve trillion, three hundred twenty-one billion, two hundred thirty-three million, five hundred sixteen thousand, four hundred".