12084480 has 108 divisors (see below), whose sum is σ = 41850900. Its totient is φ = 3219456.

The previous prime is 12084427. The next prime is 12084481. The reversal of 12084480 is 8448021.

It can be written as a sum of positive squares in 2 ways, for example, as 8020224 + 4064256 = 2832^2 + 2016^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12084481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10996 + ... + 12044.

Almost surely, 2^12084480 is an apocalyptic number.

12084480 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 12084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20925450).

12084480 is an abundant number, since it is smaller than the sum of its proper divisors (29766420).

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

12084480 is a wasteful number, since it uses less digits than its factorization.

12084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 12084480 is about 3476.2738672320. The cubic root of 12084480 is about 229.4788452171.

The spelling of 12084480 in words is "twelve million, eighty-four thousand, four hundred eighty".