12185480 has 48 divisors (see below), whose sum is σ = 28419660. Its totient is φ = 4702080.

The previous prime is 12185477. The next prime is 12185497. The reversal of 12185480 is 8458121.

It can be written as a sum of positive squares in 2 ways, for example, as 10797796 + 1387684 = 3286^2 + 1178^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38282 + ... + 38598.

Almost surely, 2^12185480 is an apocalyptic number.

12185480 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 12185480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14209830).

12185480 is an abundant number, since it is smaller than the sum of its proper divisors (16234180).

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

12185480 is a wasteful number, since it uses less digits than its factorization.

12185480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 12185480 is about 3490.7706885443. The cubic root of 12185480 is about 230.1163872192.

It can be divided in two parts, 121854 and 80, that multiplied together give a triangular number (9748320 = T₄₄₁₅).

The spelling of 12185480 in words is "twelve million, one hundred eighty-five thousand, four hundred eighty".