12005541503241 has 64 divisors (see below), whose sum is σ = 18892504350720. Its totient is φ = 6685464810240.

The previous prime is 12005541503237. The next prime is 12005541503261. The reversal of 12005541503241 is 14230514550021.

It is not a de Polignac number, because 12005541503241 - 2² = 12005541503237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12005541503261) 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 63 ways as a sum of consecutive naturals, for example, 499739956 + ... + 499763978.

It is an arithmetic number, because the mean of its divisors is an integer number (295195380480).

Almost surely, 2^{12005541503241} is an apocalyptic number.

12005541503241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12005541503241 is a deficient number, since it is larger than the sum of its proper divisors (6886962847479).

12005541503241 is a wasteful number, since it uses less digits than its factorization.

12005541503241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29366.

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 12005541503241 in words is "twelve trillion, five billion, five hundred forty-one million, five hundred three thousand, two hundred forty-one".