30272144127203 has 48 divisors (see below), whose sum is σ = 35431579278432. Its totient is φ = 25639625088000.

The previous prime is 30272144127161. The next prime is 30272144127209.

30272144127203 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 30272144127203 - 2⁶ = 30272144127139 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30272144127209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2233605275 + ... + 2233618827.

It is an arithmetic number, because the mean of its divisors is an integer number (738157901634).

Almost surely, 2^{30272144127203} is an apocalyptic number.

30272144127203 is a deficient number, since it is larger than the sum of its proper divisors (5159435151229).

30272144127203 is a wasteful number, since it uses less digits than its factorization.

30272144127203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22884 (or 22865 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 38.

The spelling of 30272144127203 in words is "thirty trillion, two hundred seventy-two billion, one hundred forty-four million, one hundred twenty-seven thousand, two hundred three".