233000222133312 has 84 divisors (see below), whose sum is σ = 667866010933836. Its totient is φ = 77665235450880.

The previous prime is 233000222133229. The next prime is 233000222133313. The reversal of 233000222133312 is 213331222000332.

233000222133312 is a `hidden beast` number, since 2 + 3 + 300 + 0 + 2 + 2 + 21 + 3 + 331 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 103501648627776 + 129498573505536 = 10173576^2 + 11379744^2 .

It is not an unprimeable number, because it can be changed into a prime (233000222133313) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 26024038 + ... + 33811994.

Almost surely, 2^{233000222133312} is an apocalyptic number.

It is an amenable number.

233000222133312 is an abundant number, since it is smaller than the sum of its proper divisors (434865788800524).

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

233000222133312 is a wasteful number, since it uses less digits than its factorization.

233000222133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7839916 (or 7839903 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 233000222133312 its reverse (213331222000332), we get a palindrome (446331444133644).

The spelling of 233000222133312 in words is "two hundred thirty-three trillion, two hundred twenty-two million, one hundred thirty-three thousand, three hundred twelve".