3000120202000 has 80 divisors (see below), whose sum is σ = 7259359893552. Its totient is φ = 1199209497600.

The previous prime is 3000120201943. The next prime is 3000120202003. The reversal of 3000120202000 is 2020210003.

It can be written as a sum of positive squares in 8 ways, for example, as 28509647104 + 2971610554896 = 168848^2 + 1723836^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (3000120202003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2342602 + ... + 3389398.

Almost surely, 2^{3000120202000} 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 3000120202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629679946776).

3000120202000 is an abundant number, since it is smaller than the sum of its proper divisors (4259239691552).

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

3000120202000 is a wasteful number, since it uses less digits than its factorization.

3000120202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048253 (or 1048237 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 3000120202000 its reverse (2020210003), we get a palindrome (3002140412003).

The spelling of 3000120202000 in words is "three trillion, one hundred twenty million, two hundred two thousand".