12405542541 has 32 divisors (see below), whose sum is σ = 19585843200. Its totient is φ = 6833830080.

The previous prime is 12405542533. The next prime is 12405542579. The reversal of 12405542541 is 14524550421.

It is a happy number.

It is not a de Polignac number, because 12405542541 - 2³ = 12405542533 is a prime.

It is a super-3 number, since 3×12405542541³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12405542531) 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 31 ways as a sum of consecutive naturals, for example, 385876 + ... + 416786.

It is an arithmetic number, because the mean of its divisors is an integer number (612057600).

Almost surely, 2^12405542541 is an apocalyptic number.

It is an amenable number.

12405542541 is a deficient number, since it is larger than the sum of its proper divisors (7180300659).

12405542541 is a wasteful number, since it uses less digits than its factorization.

12405542541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31609.

The product of its (nonzero) digits is 32000, while the sum is 33.

The spelling of 12405542541 in words is "twelve billion, four hundred five million, five hundred forty-two thousand, five hundred forty-one".