3300120203200 has 168 divisors, whose sum is σ = 8261140769024. Its totient is φ = 1297202688000.

The previous prime is 3300120203189. The next prime is 3300120203203. The reversal of 3300120203200 is 23020210033.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300120203203) 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, 109004065 + ... + 109034335.

Almost surely, 2^{3300120203200} 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 3300120203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4130570384512).

3300120203200 is an abundant number, since it is smaller than the sum of its proper divisors (4961020565824).

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

3300120203200 is a wasteful number, since it uses less digits than its factorization.

3300120203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31471 (or 31456 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 3300120203200 its reverse (23020210033), we get a palindrome (3323140413233).

The spelling of 3300120203200 in words is "three trillion, three hundred billion, one hundred twenty million, two hundred three thousand, two hundred".