12333103221312 has 168 divisors, whose sum is σ = 36180287247104. Its totient is φ = 4014589049856.

The previous prime is 12333103221311. The next prime is 12333103221319. The reversal of 12333103221312 is 21312230133321.

12333103221312 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 310 + 32 + 2 + 1 + 312 = 666.

It is not an unprimeable number, because it can be changed into a prime (12333103221311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124360098 + ... + 124459230.

Almost surely, 2^{12333103221312} is an apocalyptic number.

12333103221312 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 12333103221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18090143623552).

12333103221312 is an abundant number, since it is smaller than the sum of its proper divisors (23847184025792).

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

12333103221312 is a wasteful number, since it uses less digits than its factorization.

12333103221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104217 (or 104204 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 12333103221312 its reverse (21312230133321), we get a palindrome (33645333354633).

The spelling of 12333103221312 in words is "twelve trillion, three hundred thirty-three billion, one hundred three million, two hundred twenty-one thousand, three hundred twelve".