233220131022000 has 320 divisors, whose sum is σ = 791541530956800. Its totient is φ = 58913852774400.

The previous prime is 233220131021987. The next prime is 233220131022001. The reversal of 233220131022000 is 220131022332.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (233220131022001) 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 63 ways as a sum of consecutive naturals, for example, 1478159116 + ... + 1478316884.

It is an arithmetic number, because the mean of its divisors is an integer number (2473567284240).

Almost surely, 2^{233220131022000} is an apocalyptic number.

233220131022000 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 233220131022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395770765478400).

233220131022000 is an abundant number, since it is smaller than the sum of its proper divisors (558321399934800).

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

233220131022000 is a wasteful number, since it uses less digits than its factorization.

233220131022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170781 (or 170765 counting only the distinct ones).

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

Adding to 233220131022000 its reverse (220131022332), we get a palindrome (233440262044332).

The spelling of 233220131022000 in words is "two hundred thirty-three trillion, two hundred twenty billion, one hundred thirty-one million, twenty-two thousand".