12114560 has 64 divisors (see below), whose sum is σ = 30257280. Its totient is φ = 4629504.

The previous prime is 12114559. The next prime is 12114563. The reversal of 12114560 is 6541121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×12114560³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12114563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14309 + ... + 15131.

It is an arithmetic number, because the mean of its divisors is an integer number (472770).

Almost surely, 2^12114560 is an apocalyptic number.

12114560 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 12114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15128640).

12114560 is an abundant number, since it is smaller than the sum of its proper divisors (18142720).

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

12114560 is an equidigital number, since it uses as much as digits as its factorization.

12114560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 12114560 is about 3480.5976498297. The cubic root of 12114560 is about 229.6690893507.

Adding to 12114560 its reverse (6541121), we get a palindrome (18655681).

The spelling of 12114560 in words is "twelve million, one hundred fourteen thousand, five hundred sixty".