233122332000000 has 252 divisors, whose sum is σ = 775546829279768. Its totient is φ = 62165952000000.

The previous prime is 233122331999993. The next prime is 233122332000001. The reversal of 233122332000000 is 233221332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233122332000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2286570 + ... + 21713430.

Almost surely, 2^{233122332000000} is an apocalyptic number.

233122332000000 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 233122332000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387773414639884).

233122332000000 is an abundant number, since it is smaller than the sum of its proper divisors (542424497279768).

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

233122332000000 is an frugal number, since it uses more digits than its factorization.

233122332000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19426910 (or 19426871 counting only the distinct ones).

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

Adding to 233122332000000 its reverse (233221332), we get a palindrome (233122565221332).

The spelling of 233122332000000 in words is "two hundred thirty-three trillion, one hundred twenty-two billion, three hundred thirty-two million", and thus it is an aban number.