12086820 has 84 divisors (see below), whose sum is σ = 38101980. Its totient is φ = 3219264.

The previous prime is 12086803. The next prime is 12086821. The reversal of 12086820 is 2868021.

It can be written as a sum of positive squares in 2 ways, for example, as 5645376 + 6441444 = 2376^2 + 2538^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12086821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14166 + ... + 14994.

It is an arithmetic number, because the mean of its divisors is an integer number (453595).

Almost surely, 2^12086820 is an apocalyptic number.

12086820 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 12086820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19050990).

12086820 is an abundant number, since it is smaller than the sum of its proper divisors (26015160).

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

12086820 is an equidigital number, since it uses as much as digits as its factorization.

12086820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 12086820 is about 3476.6104182091. The cubic root of 12086820 is about 229.4936561107.

The spelling of 12086820 in words is "twelve million, eighty-six thousand, eight hundred twenty".