233121213320000 has 140 divisors (see below), whose sum is σ = 578255486715060. Its totient is φ = 93217732608000.

The previous prime is 233121213319991. The next prime is 233121213320041. The reversal of 233121213320000 is 23312121332.

It can be written as a sum of positive squares in 10 ways, for example, as 54559141325056 + 178562071994944 = 7386416^2 + 13362712^2 .

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 120520496 + ... + 122439504.

It is an arithmetic number, because the mean of its divisors is an integer number (4130396333679).

Almost surely, 2^{233121213320000} is an apocalyptic number.

233121213320000 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 233121213320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289127743357530).

233121213320000 is an abundant number, since it is smaller than the sum of its proper divisors (345134273395060).

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

233121213320000 is an equidigital number, since it uses as much as digits as its factorization.

233121213320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922078 (or 1922053 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 233121213320000 its reverse (23312121332), we get a palindrome (233144525441332).

233121213320000 divided by its reverse (23312121332) gives a 4-th power (10000 = 10⁴).

The spelling of 233121213320000 in words is "two hundred thirty-three trillion, one hundred twenty-one billion, two hundred thirteen million, three hundred twenty thousand".