12111865540 has 96 divisors (see below), whose sum is σ = 26632617984. Its totient is φ = 4621639680.

The previous prime is 12111865537. The next prime is 12111865621. The reversal of 12111865540 is 4556811121.

12111865540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12111865540³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12111865496 and 12111865505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15196422 + ... + 15197218.

It is an arithmetic number, because the mean of its divisors is an integer number (277423104).

Almost surely, 2^12111865540 is an apocalyptic number.

12111865540 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 12111865540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13316308992).

12111865540 is an abundant number, since it is smaller than the sum of its proper divisors (14520752444).

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

12111865540 is a wasteful number, since it uses less digits than its factorization.

12111865540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 34.

The spelling of 12111865540 in words is "twelve billion, one hundred eleven million, eight hundred sixty-five thousand, five hundred forty".