12005240051424 has 96 divisors (see below), whose sum is σ = 32245804684800. Its totient is φ = 3909113644032.

The previous prime is 12005240051423. The next prime is 12005240051443. The reversal of 12005240051424 is 42415004250021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 12005240051391 and 12005240051400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12005240051423) 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, 183949 + ... + 4903500.

It is an arithmetic number, because the mean of its divisors is an integer number (335893798800).

Almost surely, 2^{12005240051424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12005240051424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16122902342400).

12005240051424 is an abundant number, since it is smaller than the sum of its proper divisors (20240564633376).

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

12005240051424 is a wasteful number, since it uses less digits than its factorization.

12005240051424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5088032 (or 5088024 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 12005240051424 in words is "twelve trillion, five billion, two hundred forty million, fifty-one thousand, four hundred twenty-four".