12333122212320 has 2304 divisors, whose sum is σ = 56202792710400. Its totient is φ = 2501537955840.

The previous prime is 12333122212297. The next prime is 12333122212361. The reversal of 12333122212320 is 2321222133321.

12333122212320 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 3 + 122 + 212 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 9061808440 + ... + 9061809800.

It is an arithmetic number, because the mean of its divisors is an integer number (24393573225).

Almost surely, 2^{12333122212320} is an apocalyptic number.

12333122212320 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 12333122212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28101396355200).

12333122212320 is an abundant number, since it is smaller than the sum of its proper divisors (43869670498080).

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

12333122212320 is a wasteful number, since it uses less digits than its factorization.

12333122212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1517 counting only the distinct ones).

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

Adding to 12333122212320 its reverse (2321222133321), we get a palindrome (14654344345641).

The spelling of 12333122212320 in words is "twelve trillion, three hundred thirty-three billion, one hundred twenty-two million, two hundred twelve thousand, three hundred twenty".