12333321000 has 1152 divisors, whose sum is σ = 57524463360. Its totient is φ = 2301696000.

The previous prime is 12333320977. The next prime is 12333321023. The reversal of 12333321000 is 12333321.

Added to its reverse (12333321) it gives a square (12345654321 = 111111²).

12333321000 is a `hidden beast` number, since 1 + 233 + 332 + 100 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12333320977) and next prime (12333321023).

It is a super-2 number, since 2×12333321000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 333332982 + ... + 333333018.

It is an arithmetic number, because the mean of its divisors is an integer number (49934430).

Almost surely, 2^12333321000 is an apocalyptic number.

12333321000 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 12333321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28762231680).

12333321000 is an abundant number, since it is smaller than the sum of its proper divisors (45191142360).

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

12333321000 is a wasteful number, since it uses less digits than its factorization.

12333321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12333321000 its reverse (12333321), we get a palindrome (12345654321).

12333321000 divided by its reverse (12333321) gives a cube (1000 = 10³).

It can be divided in two parts, 12333 and 321000, that added together give a palindrome (333333).

The spelling of 12333321000 in words is "twelve billion, three hundred thirty-three million, three hundred twenty-one thousand".