12984480 has 144 divisors (see below), whose sum is σ = 45287424. Its totient is φ = 3386880.

The previous prime is 12984473. The next prime is 12984487. The reversal of 12984480 is 8448921.

It is an interprime number because it is at equal distance from previous prime (12984473) and next prime (12984487).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (12984487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102177 + ... + 102303.

It is an arithmetic number, because the mean of its divisors is an integer number (314496).

Almost surely, 2^12984480 is an apocalyptic number.

12984480 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 12984480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22643712).

12984480 is an abundant number, since it is smaller than the sum of its proper divisors (32302944).

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

12984480 is a wasteful number, since it uses less digits than its factorization.

12984480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 12984480 is about 3603.3983959590. The cubic root of 12984480 is about 235.0398604484.

It can be divided in two parts, 1298 and 4480, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 12984480 in words is "twelve million, nine hundred eighty-four thousand, four hundred eighty".