233120203000 has 128 divisors (see below), whose sum is σ = 569611336320. Its totient is φ = 89132313600.

The previous prime is 233120202983. The next prime is 233120203033. The reversal of 233120203000 is 302021332.

It is a super-2 number, since 2×233120203000² (a number of 24 digits) contains 22 as substring.

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, 47216532 + ... + 47221468.

It is an arithmetic number, because the mean of its divisors is an integer number (4450088565).

Almost surely, 2^233120203000 is an apocalyptic number.

233120203000 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 233120203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284805668160).

233120203000 is an abundant number, since it is smaller than the sum of its proper divisors (336491133320).

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

233120203000 is a wasteful number, since it uses less digits than its factorization.

233120203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7034 (or 7020 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 233120203000 its reverse (302021332), we get a palindrome (233422224332).

The spelling of 233120203000 in words is "two hundred thirty-three billion, one hundred twenty million, two hundred three thousand".