12005642433344 has 56 divisors (see below), whose sum is σ = 27238989423360. Its totient is φ = 5143025097216.

The previous prime is 12005642433341. The next prime is 12005642433353. The reversal of 12005642433344 is 44333424650021.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12005642433341) 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 7 ways as a sum of consecutive naturals, for example, 4834259 + ... + 6883410.

Almost surely, 2^{12005642433344} is an apocalyptic number.

12005642433344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12005642433344 is an abundant number, since it is smaller than the sum of its proper divisors (15233346990016).

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

12005642433344 is a wasteful number, since it uses less digits than its factorization.

12005642433344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11719975 (or 11719965 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 41.

The spelling of 12005642433344 in words is "twelve trillion, five billion, six hundred forty-two million, four hundred thirty-three thousand, three hundred forty-four".