12005369640 has 320 divisors, whose sum is σ = 46339128000. Its totient is φ = 2757058560.

The previous prime is 12005369611. The next prime is 12005369681. The reversal of 12005369640 is 4696350021.

It is a happy number.

12005369640 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 5 + 3 + 6 + 9 + 640 = 666.

12005369640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12005369595 and 12005369604.

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 79 ways as a sum of consecutive naturals, for example, 668296 + ... + 686024.

It is an arithmetic number, because the mean of its divisors is an integer number (144809775).

Almost surely, 2^12005369640 is an apocalyptic number.

12005369640 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 12005369640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23169564000).

12005369640 is an abundant number, since it is smaller than the sum of its proper divisors (34333758360).

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

12005369640 is a wasteful number, since it uses less digits than its factorization.

12005369640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17782 (or 17769 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 12005369640 in words is "twelve billion, five million, three hundred sixty-nine thousand, six hundred forty".