3201233103200 has 1152 divisors, whose sum is σ = 9938738880000. Its totient is φ = 991346688000.

The previous prime is 3201233103193. The next prime is 3201233103203. The reversal of 3201233103200 is 23013321023.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201233103203) 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 191 ways as a sum of consecutive naturals, for example, 6415296551 + ... + 6415297049.

It is an arithmetic number, because the mean of its divisors is an integer number (8627377500).

Almost surely, 2^{3201233103200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3201233103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4969369440000).

3201233103200 is an abundant number, since it is smaller than the sum of its proper divisors (6737505776800).

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

3201233103200 is a wasteful number, since it uses less digits than its factorization.

3201233103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 3201233103200 its reverse (23013321023), we get a palindrome (3224246424223).

The spelling of 3201233103200 in words is "three trillion, two hundred one billion, two hundred thirty-three million, one hundred three thousand, two hundred".