300002013112320 has 144 divisors (see below), whose sum is σ = 1039753071154980. Its totient is φ = 80000536805376.

The previous prime is 300002013112261. The next prime is 300002013112327. The reversal of 300002013112320 is 23211310200003.

300002013112320 is a `hidden beast` number, since 30 + 0 + 0 + 0 + 2 + 0 + 1 + 311 + 2 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 281469608027136 + 18532405085184 = 16777056^2 + 4304928^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 300002013112293 and 300002013112302.

It is not an unprimeable number, because it can be changed into a prime (300002013112327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1627522929 + ... + 1627707248.

Almost surely, 2^{300002013112320} is an apocalyptic number.

300002013112320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

300002013112320 is an abundant number, since it is smaller than the sum of its proper divisors (739751058042660).

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

300002013112320 is a wasteful number, since it uses less digits than its factorization.

300002013112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255230210 (or 3255230187 counting only the distinct ones).

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

Adding to 300002013112320 its reverse (23211310200003), we get a palindrome (323213323312323).

The spelling of 300002013112320 in words is "three hundred trillion, two billion, thirteen million, one hundred twelve thousand, three hundred twenty".