233212100000 has 288 divisors, whose sum is σ = 641448569664. Its totient is φ = 82720000000.

The previous prime is 233212099999. The next prime is 233212100003. The reversal of 233212100000 is 1212332.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (233212100003) 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 47 ways as a sum of consecutive naturals, for example, 45097415 + ... + 45102585.

It is an arithmetic number, because the mean of its divisors is an integer number (2227251978).

Almost surely, 2^233212100000 is an apocalyptic number.

233212100000 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 233212100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320724284832).

233212100000 is an abundant number, since it is smaller than the sum of its proper divisors (408236469664).

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

233212100000 is an equidigital number, since it uses as much as digits as its factorization.

233212100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5258 (or 5230 counting only the distinct ones).

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

Adding to 233212100000 its reverse (1212332), we get a palindrome (233213312332).

The spelling of 233212100000 in words is "two hundred thirty-three billion, two hundred twelve million, one hundred thousand".