12117600 has 360 divisors, whose sum is σ = 51043608. Its totient is φ = 2764800.

The previous prime is 12117571. The next prime is 12117607. The reversal of 12117600 is 671121.

It is a tau number, because it is divible by the number of its divisors (360).

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 (12117607) 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 59 ways as a sum of consecutive naturals, for example, 712792 + ... + 712808.

Almost surely, 2^12117600 is an apocalyptic number.

12117600 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 12117600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25521804).

12117600 is an abundant number, since it is smaller than the sum of its proper divisors (38926008).

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

12117600 is a wasteful number, since it uses less digits than its factorization.

12117600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 12117600 is about 3481.0343290465. The cubic root of 12117600 is about 229.6882986228.

Adding to 12117600 its reverse (671121), we get a palindrome (12788721).

The spelling of 12117600 in words is "twelve million, one hundred seventeen thousand, six hundred".