3002003300000 has 144 divisors (see below), whose sum is σ = 7390383797664. Its totient is φ = 1200295200000.

The previous prime is 3002003299991. The next prime is 3002003300029. The reversal of 3002003300000 is 33002003.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316295255 + ... + 316304745.

It is an arithmetic number, because the mean of its divisors is an integer number (51322109706).

Almost surely, 2^{3002003300000} 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 3002003300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3695191898832).

3002003300000 is an abundant number, since it is smaller than the sum of its proper divisors (4388380497664).

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

3002003300000 is an frugal number, since it uses more digits than its factorization.

3002003300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12689 (or 12661 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 11.

Adding to 3002003300000 its reverse (33002003), we get a palindrome (3002036302003).

The spelling of 3002003300000 in words is "three trillion, two billion, three million, three hundred thousand".