12187120 has 60 divisors (see below), whose sum is σ = 31169880. Its totient is φ = 4428160.

The previous prime is 12187117. The next prime is 12187121. The reversal of 12187120 is 2178121.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12187091 and 12187100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12187121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9051 + ... + 10309.

It is an arithmetic number, because the mean of its divisors is an integer number (519498).

Almost surely, 2^12187120 is an apocalyptic number.

12187120 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 12187120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15584940).

12187120 is an abundant number, since it is smaller than the sum of its proper divisors (18982760).

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

12187120 is a wasteful number, since it uses less digits than its factorization.

12187120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 22.

The square root of 12187120 is about 3491.0055857876. The cubic root of 12187120 is about 230.1267102689.

It can be divided in two parts, 1218 and 7120, that added together give a palindrome (8338).

The spelling of 12187120 in words is "twelve million, one hundred eighty-seven thousand, one hundred twenty".