233121202320000 has 320 divisors, whose sum is σ = 774728410800960. Its totient is φ = 62090065920000.

The previous prime is 233121202319987. The next prime is 233121202320133. The reversal of 233121202320000 is 23202121332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×233121202320000² (a number of 30 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 196929880 + ... + 198110120.

It is an arithmetic number, because the mean of its divisors is an integer number (2421026283753).

Almost surely, 2^{233121202320000} is an apocalyptic number.

233121202320000 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 233121202320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387364205400480).

233121202320000 is an abundant number, since it is smaller than the sum of its proper divisors (541607208480960).

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

233121202320000 is an equidigital number, since it uses as much as digits as its factorization.

233121202320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181101 (or 1181074 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 233121202320000 its reverse (23202121332), we get a palindrome (233144404441332).

The spelling of 233121202320000 in words is "two hundred thirty-three trillion, one hundred twenty-one billion, two hundred two million, three hundred twenty thousand".