12002182580 has 192 divisors, whose sum is σ = 29431019520. Its totient is φ = 4080844800.

The previous prime is 12002182579. The next prime is 12002182607. The reversal of 12002182580 is 8528120021.

It is a happy number.

12002182580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 14618570 + ... + 14619390.

It is an arithmetic number, because the mean of its divisors is an integer number (153286560).

Almost surely, 2^12002182580 is an apocalyptic number.

12002182580 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 12002182580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14715509760).

12002182580 is an abundant number, since it is smaller than the sum of its proper divisors (17428836940).

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

12002182580 is a wasteful number, since it uses less digits than its factorization.

12002182580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The spelling of 12002182580 in words is "twelve billion, two million, one hundred eighty-two thousand, five hundred eighty".