12008417760 has 288 divisors, whose sum is σ = 43573578048. Its totient is φ = 3004784640.

The previous prime is 12008417723. The next prime is 12008417809. The reversal of 12008417760 is 6771480021.

12008417760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1751940 + ... + 1758780.

It is an arithmetic number, because the mean of its divisors is an integer number (151297146).

Almost surely, 2^12008417760 is an apocalyptic number.

12008417760 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 12008417760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21786789024).

12008417760 is an abundant number, since it is smaller than the sum of its proper divisors (31565160288).

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

12008417760 is a wasteful number, since it uses less digits than its factorization.

12008417760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6938 (or 6927 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Adding to 12008417760 its reverse (6771480021), we get a palindrome (18779897781).

The spelling of 12008417760 in words is "twelve billion, eight million, four hundred seventeen thousand, seven hundred sixty".