12005541605360 has 40 divisors (see below), whose sum is σ = 27913286466576. Its totient is φ = 4802147440640.

The previous prime is 12005541605353. The next prime is 12005541605401. The reversal of 12005541605360 is 6350614550021.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4696775 + ... + 6787545.

Almost surely, 2^{12005541605360} is an apocalyptic number.

12005541605360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12005541605360 is an abundant number, since it is smaller than the sum of its proper divisors (15907744861216).

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

12005541605360 is a wasteful number, since it uses less digits than its factorization.

12005541605360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162561 (or 2162555 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

The spelling of 12005541605360 in words is "twelve trillion, five billion, five hundred forty-one million, six hundred five thousand, three hundred sixty".