12114114120 has 96 divisors (see below), whose sum is σ = 39497023800. Its totient is φ = 3220079616.

The previous prime is 12114114097. The next prime is 12114114157. The reversal of 12114114120 is 2141141121.

12114114120 is a `hidden beast` number, since 1 + 211 + 41 + 1 + 412 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4573275876 + 7540838244 = 67626^2 + 86838^2 .

It is a super-3 number, since 3×12114114120³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12114114093 and 12114114102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58926 + ... + 166434.

Almost surely, 2^12114114120 is an apocalyptic number.

12114114120 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 12114114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19748511900).

12114114120 is an abundant number, since it is smaller than the sum of its proper divisors (27382909680).

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

12114114120 is a wasteful number, since it uses less digits than its factorization.

12114114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107839 (or 107832 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12114114120 its reverse (2141141121), we get a palindrome (14255255241).

The spelling of 12114114120 in words is "twelve billion, one hundred fourteen million, one hundred fourteen thousand, one hundred twenty".