233321100012 has 288 divisors, whose sum is σ = 813284419584. Its totient is φ = 54428889600.

The previous prime is 233321099989. The next prime is 233321100041. The reversal of 233321100012 is 210001123332.

233321100012 is a `hidden beast` number, since 233 + 321 + 100 + 0 + 12 = 666.

233321100012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 95 ways as a sum of consecutive naturals, for example, 1245837 + ... + 1420827.

Almost surely, 2^233321100012 is an apocalyptic number.

233321100012 is a gapful number since it is divisible by the number (22) 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 233321100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406642209792).

233321100012 is an abundant number, since it is smaller than the sum of its proper divisors (579963319572).

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

233321100012 is a wasteful number, since it uses less digits than its factorization.

233321100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175069 (or 175064 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 233321100012 its reverse (210001123332), we get a palindrome (443322223344).

It can be divided in two parts, 233321 and 100012, that added together give a palindrome (333333).

The spelling of 233321100012 in words is "two hundred thirty-three billion, three hundred twenty-one million, one hundred thousand, twelve".