3002033112000 has 896 divisors, whose sum is σ = 10838387589120. Its totient is φ = 727772774400.

The previous prime is 3002033111983. The next prime is 3002033112007. The reversal of 3002033112000 is 2113302003.

3002033112000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3002033112007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9470135842 + ... + 9470136158.

It is an arithmetic number, because the mean of its divisors is an integer number (12096414720).

Almost surely, 2^{3002033112000} is an apocalyptic number.

3002033112000 is a gapful number since it is divisible by the number (30) 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 3002033112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5419193794560).

3002033112000 is an abundant number, since it is smaller than the sum of its proper divisors (7836354477120).

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

3002033112000 is a wasteful number, since it uses less digits than its factorization.

3002033112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 3002033112000 its reverse (2113302003), we get a palindrome (3004146414003).

The spelling of 3002033112000 in words is "three trillion, two billion, thirty-three million, one hundred twelve thousand".