12272545341 has 72 divisors (see below), whose sum is σ = 21749476320. Its totient is φ = 6630652224.

The previous prime is 12272545309. The next prime is 12272545343. The reversal of 12272545341 is 14354527221.

12272545341 is a `hidden beast` number, since 1 + 2 + 2 + 72 + 54 + 534 + 1 = 666.

12272545341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12272545341 - 2⁵ = 12272545309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12272545296 and 12272545305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12272545343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5470366 + ... + 5472608.

It is an arithmetic number, because the mean of its divisors is an integer number (302076060).

Almost surely, 2^12272545341 is an apocalyptic number.

It is an amenable number.

12272545341 is a deficient number, since it is larger than the sum of its proper divisors (9476930979).

12272545341 is a wasteful number, since it uses less digits than its factorization.

12272545341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2925 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The spelling of 12272545341 in words is "twelve billion, two hundred seventy-two million, five hundred forty-five thousand, three hundred forty-one".