30120643809 has 81 divisors (see below), whose sum is σ = 47949785689. Its totient is φ = 18216122880.

The previous prime is 30120643799. The next prime is 30120643871. The reversal of 30120643809 is 90834602103.

The square root of 30120643809 is 173553.

It is a perfect power (a square), and thus also a powerful number.

30120643809 is a `hidden beast` number, since 3 + 0 + 1 + 2 + 0 + 643 + 8 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2121984225 + 27998659584 = 46065^2 + 167328^2 .

It is not a de Polignac number, because 30120643809 - 2²⁷ = 29986426081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30120643009) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 362899282 + ... + 362899364.

Almost surely, 2^30120643809 is an apocalyptic number.

30120643809 is the 173553-rd square number.

30120643809 is the 86777-th centered octagonal number.

It is an amenable number.

30120643809 is a deficient number, since it is larger than the sum of its proper divisors (17829141880).

30120643809 is an equidigital number, since it uses as much as digits as its factorization.

30120643809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 30120643809 by its sum of digits (36), we get a square (1084343177124 = 1041318²).

The spelling of 30120643809 in words is "thirty billion, one hundred twenty million, six hundred forty-three thousand, eight hundred nine".