12086100 has 108 divisors (see below), whose sum is σ = 40836796. Its totient is φ = 2972160.

The previous prime is 12086093. The next prime is 12086101. The reversal of 12086100 is 168021.

12086100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 17424 + 12068676 = 132^2 + 3474^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12086101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11184 + ... + 12216.

Almost surely, 2^12086100 is an apocalyptic number.

12086100 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 12086100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20418398).

12086100 is an abundant number, since it is smaller than the sum of its proper divisors (28750696).

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

12086100 is a wasteful number, since it uses less digits than its factorization.

12086100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 12086100 is about 3476.5068675324. The cubic root of 12086100 is about 229.4890991163.

The spelling of 12086100 in words is "twelve million, eighty-six thousand, one hundred".