12117360 has 80 divisors (see below), whose sum is σ = 38881440. Its totient is φ = 3118080.

The previous prime is 12117359. The next prime is 12117367. The reversal of 12117360 is 6371121.

12117360 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 59⁴-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12117367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6090 + ... + 7830.

It is an arithmetic number, because the mean of its divisors is an integer number (486018).

Almost surely, 2^12117360 is an apocalyptic number.

12117360 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 12117360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19440720).

12117360 is an abundant number, since it is smaller than the sum of its proper divisors (26764080).

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

12117360 is a wasteful number, since it uses less digits than its factorization.

12117360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 12117360 is about 3480.9998563631. Note that the first 3 decimals coincide. The cubic root of 12117360 is about 229.6867822181.

Adding to 12117360 its reverse (6371121), we get a palindrome (18488481).

The spelling of 12117360 in words is "twelve million, one hundred seventeen thousand, three hundred sixty".