3000302120 has 64 divisors (see below), whose sum is σ = 7184382480. Its totient is φ = 1123741696.

The previous prime is 3000302119. The next prime is 3000302131. The reversal of 3000302120 is 212030003.

3000302120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2977011844 + 23290276 = 54562^2 + 4826^2 .

It is a super-2 number, since 2×3000302120² = 18003625622552988800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122762 + ... + 145158.

Almost surely, 2^3000302120 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 3000302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592191240).

3000302120 is an abundant number, since it is smaller than the sum of its proper divisors (4184080360).

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

3000302120 is a wasteful number, since it uses less digits than its factorization.

3000302120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22622 (or 22618 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 3000302120 is about 54775.0136467349. The cubic root of 3000302120 is about 1442.2979833978.

Adding to 3000302120 its reverse (212030003), we get a palindrome (3212332123).

The spelling of 3000302120 in words is "three billion, three hundred two thousand, one hundred twenty".