12002410368 has 384 divisors, whose sum is σ = 38922024960. Its totient is φ = 3525120000.

The previous prime is 12002410349. The next prime is 12002410411. The reversal of 12002410368 is 86301420021.

12002410368 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 (384).

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, 47818243 + ... + 47818493.

It is an arithmetic number, because the mean of its divisors is an integer number (101359440).

Almost surely, 2^12002410368 is an apocalyptic number.

12002410368 is a gapful number since it is divisible by the number (18) 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 12002410368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19461012480).

12002410368 is an abundant number, since it is smaller than the sum of its proper divisors (26919614592).

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

12002410368 is a wasteful number, since it uses less digits than its factorization.

12002410368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 12002410368 its reverse (86301420021), we get a palindrome (98303830389).

The spelling of 12002410368 in words is "twelve billion, two million, four hundred ten thousand, three hundred sixty-eight".