12082656320 has 224 divisors, whose sum is σ = 35095891200. Its totient is φ = 3869835264.

The previous prime is 12082656319. The next prime is 12082656373. The reversal of 12082656320 is 2365628021.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

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 31 ways as a sum of consecutive naturals, for example, 3104936 + ... + 3108824.

Almost surely, 2^12082656320 is an apocalyptic number.

12082656320 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 12082656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17547945600).

12082656320 is an abundant number, since it is smaller than the sum of its proper divisors (23013234880).

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

12082656320 is a wasteful number, since it uses less digits than its factorization.

12082656320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005 (or 3995 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 12082656320 in words is "twelve billion, eighty-two million, six hundred fifty-six thousand, three hundred twenty".