12182561440 has 96 divisors (see below), whose sum is σ = 33063932160. Its totient is φ = 4155162624.

The previous prime is 12182561431. The next prime is 12182561441. The reversal of 12182561440 is 4416528121.

It is a junction number, because it is equal to n+sod(n) for n = 12182561396 and 12182561405.

It is not an unprimeable number, because it can be changed into a prime (12182561441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 187981 + ... + 244339.

It is an arithmetic number, because the mean of its divisors is an integer number (344415960).

Almost surely, 2^12182561440 is an apocalyptic number.

12182561440 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 12182561440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16531966080).

12182561440 is an abundant number, since it is smaller than the sum of its proper divisors (20881370720).

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

12182561440 is a wasteful number, since it uses less digits than its factorization.

12182561440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56574 (or 56566 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 12182561440 in words is "twelve billion, one hundred eighty-two million, five hundred sixty-one thousand, four hundred forty".