233121020200 has 96 divisors (see below), whose sum is σ = 545747000760. Its totient is φ = 92606976000.

The previous prime is 233121020147. The next prime is 233121020203. The reversal of 233121020200 is 2020121332.

It can be written as a sum of positive squares in 12 ways, for example, as 2311878724 + 230809141476 = 48082^2 + 480426^2 .

It is not an unprimeable number, because it can be changed into a prime (233121020203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18493900 + ... + 18506500.

Almost surely, 2^233121020200 is an apocalyptic number.

233121020200 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 233121020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272873500380).

233121020200 is an abundant number, since it is smaller than the sum of its proper divisors (312625980560).

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

233121020200 is a wasteful number, since it uses less digits than its factorization.

233121020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13247 (or 13238 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 233121020200 its reverse (2020121332), we get a palindrome (235141141532).

The spelling of 233121020200 in words is "two hundred thirty-three billion, one hundred twenty-one million, twenty thousand, two hundred".