12038040360 has 144 divisors (see below), whose sum is σ = 40520261340. Its totient is φ = 3099371520.

The previous prime is 12038040359. The next prime is 12038040367. The reversal of 12038040360 is 6304083021.

It is a happy number.

12038040360 is a `hidden beast` number, since 120 + 3 + 80 + 403 + 60 = 666.

12038040360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2686763556 + 9351276804 = 51834^2 + 96702^2 .

It is not an unprimeable number, because it can be changed into a prime (12038040367) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 282880 + ... + 322640.

Almost surely, 2^12038040360 is an apocalyptic number.

12038040360 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 12038040360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20260130670).

12038040360 is an abundant number, since it is smaller than the sum of its proper divisors (28482220980).

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

12038040360 is a wasteful number, since it uses less digits than its factorization.

12038040360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39836 (or 39800 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 12038040360 in words is "twelve billion, thirty-eight million, forty thousand, three hundred sixty".