12233203221312 has 168 divisors, whose sum is σ = 36201442447872. Its totient is φ = 3945532953600.

The previous prime is 12233203221311. The next prime is 12233203221329. The reversal of 12233203221312 is 21312230233221.

12233203221312 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 3 + 20 + 322 + 1 + 312 = 666.

It is a super-2 number, since 2×12233203221312² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233203221311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112634938 + ... + 112743494.

Almost surely, 2^{12233203221312} is an apocalyptic number.

12233203221312 is a gapful number since it is divisible by the number (12) 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 12233203221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18100721223936).

12233203221312 is an abundant number, since it is smaller than the sum of its proper divisors (23968239226560).

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

12233203221312 is a wasteful number, since it uses less digits than its factorization.

12233203221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114917 (or 114904 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12233203221312 its reverse (21312230233221), we get a palindrome (33545433454533).

The spelling of 12233203221312 in words is "twelve trillion, two hundred thirty-three billion, two hundred three million, two hundred twenty-one thousand, three hundred twelve".