600000006120 has 128 divisors (see below), whose sum is σ = 1822281408000. Its totient is φ = 158027212800.

The previous prime is 600000006113. The next prime is 600000006161. The reversal of 600000006120 is 21600000006.

600000006120 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 self number, because there is not a number n which added to its sum of digits gives 600000006120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4896561 + ... + 5017599.

It is an arithmetic number, because the mean of its divisors is an integer number (14236573500).

Almost surely, 2^600000006120 is an apocalyptic number.

600000006120 is a gapful number since it is divisible by the number (60) 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 600000006120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911140704000).

600000006120 is an abundant number, since it is smaller than the sum of its proper divisors (1222281401880).

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

600000006120 is a wasteful number, since it uses less digits than its factorization.

600000006120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121563 (or 121559 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 600000006120 its reverse (21600000006), we get a palindrome (621600006126).

The spelling of 600000006120 in words is "six hundred billion, six thousand, one hundred twenty".