12180480 has 176 divisors, whose sum is σ = 42643104. Its totient is φ = 2949120.

The previous prime is 12180461. The next prime is 12180503. The reversal of 12180480 is 8408121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12180480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199650 + ... + 199710.

Almost surely, 2^12180480 is an apocalyptic number.

12180480 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 12180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21321552).

12180480 is an abundant number, since it is smaller than the sum of its proper divisors (30462624).

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

12180480 is a wasteful number, since it uses less digits than its factorization.

12180480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 12180480 is about 3490.0544408361. The cubic root of 12180480 is about 230.0849087891.

It can be divided in two parts, 121 and 80480, that added together give a triangular number (80601 = T₄₀₁).

The spelling of 12180480 in words is "twelve million, one hundred eighty thousand, four hundred eighty".