233220133200 has 120 divisors (see below), whose sum is σ = 748425231648. Its totient is φ = 62080202240.

The previous prime is 233220133199. The next prime is 233220133213. The reversal of 233220133200 is 2331022332.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 493939 + ... + 842861.

Almost surely, 2^233220133200 is an apocalyptic number.

233220133200 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 233220133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374212615824).

233220133200 is an abundant number, since it is smaller than the sum of its proper divisors (515205098448).

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

233220133200 is a wasteful number, since it uses less digits than its factorization.

233220133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349501 (or 349490 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 233220133200 its reverse (2331022332), we get a palindrome (235551155532).

The spelling of 233220133200 in words is "two hundred thirty-three billion, two hundred twenty million, one hundred thirty-three thousand, two hundred".