12004104240 has 240 divisors, whose sum is σ = 42549062400. Its totient is φ = 3024511488.

The previous prime is 12004104199. The next prime is 12004104251. The reversal of 12004104240 is 4240140021.

12004104240 is a `hidden beast` number, since 1 + 200 + 41 + 0 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6387621 + ... + 6389499.

It is an arithmetic number, because the mean of its divisors is an integer number (177287760).

Almost surely, 2^12004104240 is an apocalyptic number.

12004104240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12004104240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21274531200).

12004104240 is an abundant number, since it is smaller than the sum of its proper divisors (30544958160).

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

12004104240 is a wasteful number, since it uses less digits than its factorization.

12004104240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12004104240 its reverse (4240140021), we get a palindrome (16244244261).

The spelling of 12004104240 in words is "twelve billion, four million, one hundred four thousand, two hundred forty".