12186820 has 24 divisors (see below), whose sum is σ = 26077464. Its totient is φ = 4782336.

The previous prime is 12186787. The next prime is 12186821. The reversal of 12186820 is 2868121.

It can be written as a sum of positive squares in 4 ways, for example, as 2663424 + 9523396 = 1632^2 + 3086^2 .

It is not an unprimeable number, because it can be changed into a prime (12186821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4689 + ... + 6808.

It is an arithmetic number, because the mean of its divisors is an integer number (1086561).

Almost surely, 2^12186820 is an apocalyptic number.

12186820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12186820 is an abundant number, since it is smaller than the sum of its proper divisors (13890644).

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

12186820 is a wasteful number, since it uses less digits than its factorization.

12186820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11559 (or 11557 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 12186820 is about 3490.9626179608. The cubic root of 12186820 is about 230.1248219754.

The spelling of 12186820 in words is "twelve million, one hundred eighty-six thousand, eight hundred twenty".