12288120341 has 16 divisors (see below), whose sum is σ = 14318599680. Its totient is φ = 10328394240.

The previous prime is 12288120329. The next prime is 12288120347. The reversal of 12288120341 is 14302188221.

It is a cyclic number.

It is not a de Polignac number, because 12288120341 - 2²⁶ = 12221011477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12288120298 and 12288120307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12288120347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9005 + ... + 157026.

It is an arithmetic number, because the mean of its divisors is an integer number (894912480).

Almost surely, 2^12288120341 is an apocalyptic number.

It is an amenable number.

12288120341 is a deficient number, since it is larger than the sum of its proper divisors (2030479339).

12288120341 is a wasteful number, since it uses less digits than its factorization.

12288120341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166244.

The product of its (nonzero) digits is 6144, while the sum is 32.

The spelling of 12288120341 in words is "twelve billion, two hundred eighty-eight million, one hundred twenty thousand, three hundred forty-one".