233201120000000 has 384 divisors, whose sum is σ = 584294219046720. Its totient is φ = 93050880000000.

The previous prime is 233201119999979. The next prime is 233201120000033. The reversal of 233201120000000 is 21102332.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 233201120000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74719998440 + ... + 74720001560.

Almost surely, 2^{233201120000000} is an apocalyptic number.

233201120000000 is a gapful number since it is divisible by the number (20) 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 233201120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292147109523360).

233201120000000 is an abundant number, since it is smaller than the sum of its proper divisors (351093099046720).

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

233201120000000 is an frugal number, since it uses more digits than its factorization.

233201120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3645 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 233201120000000 its reverse (21102332), we get a palindrome (233201141102332).

The spelling of 233201120000000 in words is "two hundred thirty-three trillion, two hundred one billion, one hundred twenty million", and thus it is an aban number.