12036265760 has 96 divisors (see below), whose sum is σ = 29416322880. Its totient is φ = 4650365952.

The previous prime is 12036265753. The next prime is 12036265777. The reversal of 12036265760 is 6756263021.

12036265760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 815567 + ... + 830193.

It is an arithmetic number, because the mean of its divisors is an integer number (306420030).

Almost surely, 2^12036265760 is an apocalyptic number.

12036265760 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 12036265760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14708161440).

12036265760 is an abundant number, since it is smaller than the sum of its proper divisors (17380057120).

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

12036265760 is a wasteful number, since it uses less digits than its factorization.

12036265760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14818 (or 14810 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 12036265760 in words is "twelve billion, thirty-six million, two hundred sixty-five thousand, seven hundred sixty".