3006120000 has 560 divisors, whose sum is σ = 11197815552. Its totient is φ = 706560000.

The previous prime is 3006119989. The next prime is 3006120023. The reversal of 3006120000 is 216003.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63959977 + ... + 63960023.

Almost surely, 2^3006120000 is an apocalyptic number.

3006120000 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 3006120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5598907776).

3006120000 is an abundant number, since it is smaller than the sum of its proper divisors (8191695552).

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

3006120000 is a wasteful number, since it uses less digits than its factorization.

3006120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3006120000 is about 54828.0949878801. The cubic root of 3006120000 is about 1443.2296338738.

Adding to 3006120000 its reverse (216003), we get a palindrome (3006336003).

The spelling of 3006120000 in words is "three billion, six million, one hundred twenty thousand".