12114564 has 72 divisors (see below), whose sum is σ = 35890848. Its totient is φ = 3144960.

The previous prime is 12114563. The next prime is 12114601. The reversal of 12114564 is 46541121.

It is a happy number.

It is a super-3 number, since 3×12114564³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12114563) 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 23 ways as a sum of consecutive naturals, for example, 5532 + ... + 7404.

It is an arithmetic number, because the mean of its divisors is an integer number (498484).

Almost surely, 2^12114564 is an apocalyptic number.

12114564 is a gapful number since it is divisible by the number (14) 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 12114564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17945424).

12114564 is an abundant number, since it is smaller than the sum of its proper divisors (23776284).

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

12114564 is a wasteful number, since it uses less digits than its factorization.

12114564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1896 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 12114564 is about 3480.5982244436. The cubic root of 12114564 is about 229.6691146282.

Adding to 12114564 its reverse (46541121), we get a palindrome (58655685).

It can be divided in two parts, 1211 and 4564, that added together give a palindrome (5775).

The spelling of 12114564 in words is "twelve million, one hundred fourteen thousand, five hundred sixty-four".