12009087360 has 192 divisors, whose sum is σ = 41526342000. Its totient is φ = 3197988864.

The previous prime is 12009087347. The next prime is 12009087383. The reversal of 12009087360 is 6378090021.

12009087360 is a `hidden beast` number, since 1 + 200 + 90 + 8 + 7 + 360 = 666.

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

It is a super-2 number, since 2×12009087360² (a number of 21 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8230311 + ... + 8231769.

Almost surely, 2^12009087360 is an apocalyptic number.

12009087360 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 12009087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20763171000).

12009087360 is an abundant number, since it is smaller than the sum of its proper divisors (29517254640).

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

12009087360 is a wasteful number, since it uses less digits than its factorization.

12009087360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 12009087360 in words is "twelve billion, nine million, eighty-seven thousand, three hundred sixty".