12433212235200 has 672 divisors, whose sum is σ = 43681956604416. Its totient is φ = 3085109821440.

The previous prime is 12433212235153. The next prime is 12433212235201. The reversal of 12433212235200 is 253221233421.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12433212235201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9690733759 + ... + 9690735041.

Almost surely, 2^{12433212235200} is an apocalyptic number.

12433212235200 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 12433212235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21840978302208).

12433212235200 is an abundant number, since it is smaller than the sum of its proper divisors (31248744369216).

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

12433212235200 is a wasteful number, since it uses less digits than its factorization.

12433212235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 12433212235200 its reverse (253221233421), we get a palindrome (12686433468621).

The spelling of 12433212235200 in words is "twelve trillion, four hundred thirty-three billion, two hundred twelve million, two hundred thirty-five thousand, two hundred".