12106500 has 96 divisors (see below), whose sum is σ = 40325376. Its totient is φ = 2764800.

The previous prime is 12106459. The next prime is 12106531. The reversal of 12106500 is 560121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12106500.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9924 + ... + 11076.

It is an arithmetic number, because the mean of its divisors is an integer number (420056).

Almost surely, 2^12106500 is an apocalyptic number.

12106500 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 12106500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20162688).

12106500 is an abundant number, since it is smaller than the sum of its proper divisors (28218876).

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

12106500 is a wasteful number, since it uses less digits than its factorization.

12106500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 12106500 is about 3479.4396100522. The cubic root of 12106500 is about 229.6181439445.

Adding to 12106500 its reverse (560121), we get a palindrome (12666621).

The spelling of 12106500 in words is "twelve million, one hundred six thousand, five hundred".