12080824224 has 96 divisors (see below), whose sum is σ = 36271742976. Its totient is φ = 3448876800.

The previous prime is 12080824219. The next prime is 12080824229. The reversal of 12080824224 is 42242808021.

It is an interprime number because it is at equal distance from previous prime (12080824219) and next prime (12080824229).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (12080824229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 912049 + ... + 925199.

It is an arithmetic number, because the mean of its divisors is an integer number (377830656).

Almost surely, 2^12080824224 is an apocalyptic number.

12080824224 is a gapful number since it is divisible by the number (14) 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 12080824224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18135871488).

12080824224 is an abundant number, since it is smaller than the sum of its proper divisors (24190918752).

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

12080824224 is a wasteful number, since it uses less digits than its factorization.

12080824224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14538 (or 14530 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The spelling of 12080824224 in words is "twelve billion, eighty million, eight hundred twenty-four thousand, two hundred twenty-four".