12182782080 has 512 divisors, whose sum is σ = 47716024320. Its totient is φ = 2580480000.

The previous prime is 12182782067. The next prime is 12182782091. The reversal of 12182782080 is 8028728121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16221705 + ... + 16222455.

It is an arithmetic number, because the mean of its divisors is an integer number (93195360).

Almost surely, 2^12182782080 is an apocalyptic number.

12182782080 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 12182782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23858012160).

12182782080 is an abundant number, since it is smaller than the sum of its proper divisors (35533242240).

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

12182782080 is a wasteful number, since it uses less digits than its factorization.

12182782080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 39.

The spelling of 12182782080 in words is "twelve billion, one hundred eighty-two million, seven hundred eighty-two thousand, eighty".