306006120 has 256 divisors, whose sum is σ = 1234828800. Its totient is φ = 65802240.

The previous prime is 306006101. The next prime is 306006133. The reversal of 306006120 is 21600603.

It is a happy number.

306006120 is a `hidden beast` number, since 3 + 0 + 600 + 61 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 306006093 and 306006102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127330 + ... + 129710.

It is an arithmetic number, because the mean of its divisors is an integer number (4823550).

Almost surely, 2^306006120 is an apocalyptic number.

306006120 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 306006120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617414400).

306006120 is an abundant number, since it is smaller than the sum of its proper divisors (928822680).

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

306006120 is a wasteful number, since it uses less digits than its factorization.

306006120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 306006120 is about 17493.0306122181. The cubic root of 306006120 is about 673.8709024933.

Adding to 306006120 its reverse (21600603), we get a palindrome (327606723).

The spelling of 306006120 in words is "three hundred six million, six thousand, one hundred twenty".