12368087040 has 192 divisors, whose sum is σ = 40935585600. Its totient is φ = 3184197632.

The previous prime is 12368087021. The next prime is 12368087057. The reversal of 12368087040 is 4078086321.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 12368087040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 883939 + ... + 897821.

It is an arithmetic number, because the mean of its divisors is an integer number (213206175).

Almost surely, 2^12368087040 is an apocalyptic number.

12368087040 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 12368087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20467792800).

12368087040 is an abundant number, since it is smaller than the sum of its proper divisors (28567498560).

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

12368087040 is a wasteful number, since it uses less digits than its factorization.

12368087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13942 (or 13922 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 12368087040 in words is "twelve billion, three hundred sixty-eight million, eighty-seven thousand, forty".