12114120 has 64 divisors (see below), whose sum is σ = 36630720. Its totient is φ = 3204864.

The previous prime is 12114107. The next prime is 12114127. The reversal of 12114120 is 2141121.

It is a happy number.

It is a super-3 number, since 3×12114120³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12114096 and 12114105.

It is not an unprimeable number, because it can be changed into a prime (12114127) 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 15 ways as a sum of consecutive naturals, for example, 18519 + ... + 19161.

It is an arithmetic number, because the mean of its divisors is an integer number (572355).

Almost surely, 2^12114120 is an apocalyptic number.

12114120 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 12114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18315360).

12114120 is an abundant number, since it is smaller than the sum of its proper divisors (24516600).

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

12114120 is a wasteful number, since it uses less digits than its factorization.

12114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 12114120 is about 3480.5344417201. The cubic root of 12114120 is about 229.6663087951. Note that the first 3 decimals are identical.

Adding to 12114120 its reverse (2141121), we get a palindrome (14255241).

It can be divided in two parts, 121 and 14120, that added together give a palindrome (14241).

The spelling of 12114120 in words is "twelve million, one hundred fourteen thousand, one hundred twenty".