12260782080 has 520 divisors, whose sum is σ = 46383994800. Its totient is φ = 3089498112.

The previous prime is 12260782043. The next prime is 12260782111. The reversal of 12260782080 is 8028706221.

It is a happy number.

12260782080 is a `hidden beast` number, since 1 + 22 + 607 + 8 + 20 + 8 + 0 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 31518526 + ... + 31518914.

It is an arithmetic number, because the mean of its divisors is an integer number (89199990).

Almost surely, 2^12260782080 is an apocalyptic number.

12260782080 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 12260782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23191997400).

12260782080 is an abundant number, since it is smaller than the sum of its proper divisors (34123212720).

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

12260782080 is an equidigital number, since it uses as much as digits as its factorization.

12260782080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 12260782080 in words is "twelve billion, two hundred sixty million, seven hundred eighty-two thousand, eighty".