12114114540 has 96 divisors (see below), whose sum is σ = 37041822720. Its totient is φ = 2933683200.

The previous prime is 12114114539. The next prime is 12114114553. The reversal of 12114114540 is 4541141121.

It is a happy number.

It is a super-3 number, since 3×12114114540³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12114114540.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656845 + ... + 675035.

It is an arithmetic number, because the mean of its divisors is an integer number (385852320).

Almost surely, 2^12114114540 is an apocalyptic number.

12114114540 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 12114114540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18520911360).

12114114540 is an abundant number, since it is smaller than the sum of its proper divisors (24927708180).

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

12114114540 is a wasteful number, since it uses less digits than its factorization.

12114114540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19223 (or 19221 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 12114114540 its reverse (4541141121), we get a palindrome (16655255661).

The spelling of 12114114540 in words is "twelve billion, one hundred fourteen million, one hundred fourteen thousand, five hundred forty".