233020003200000 has 264 divisors, whose sum is σ = 776304424993104. Its totient is φ = 62138664960000.

The previous prime is 233020003199947. The next prime is 233020003200007. The reversal of 233020003200000 is 2300020332.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (233020003200007) 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 23 ways as a sum of consecutive naturals, for example, 2536459 + ... + 21736458.

Almost surely, 2^{233020003200000} is an apocalyptic number.

233020003200000 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 233020003200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388152212496552).

233020003200000 is an abundant number, since it is smaller than the sum of its proper divisors (543284421793104).

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

233020003200000 is an frugal number, since it uses more digits than its factorization.

233020003200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24272965 (or 24272927 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 233020003200000 its reverse (2300020332), we get a palindrome (233022303220332).

The spelling of 233020003200000 in words is "two hundred thirty-three trillion, twenty billion, three million, two hundred thousand".