12079503360 has 144 divisors (see below), whose sum is σ = 41865707520. Its totient is φ = 3221176320.

The previous prime is 12079503349. The next prime is 12079503419. The reversal of 12079503360 is 6330597021.

12079503360 is a `hidden beast` number, since 1 + 20 + 79 + 503 + 3 + 60 = 666.

12079503360 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 (144).

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

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 11 ways as a sum of consecutive naturals, for example, 26625 + ... + 157695.

It is an arithmetic number, because the mean of its divisors is an integer number (290734080).

Almost surely, 2^12079503360 is an apocalyptic number.

12079503360 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 12079503360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20932853760).

12079503360 is an abundant number, since it is smaller than the sum of its proper divisors (29786204160).

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

12079503360 is a wasteful number, since it uses less digits than its factorization.

12079503360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131104 (or 131081 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 12079503360 in words is "twelve billion, seventy-nine million, five hundred three thousand, three hundred sixty".