12420111140 has 72 divisors (see below), whose sum is σ = 28199300472. Its totient is φ = 4591664640.

The previous prime is 12420111127. The next prime is 12420111167. The reversal of 12420111140 is 4111102421.

12420111140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 48888064 + 12371223076 = 6992^2 + 111226^2 .

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 23 ways as a sum of consecutive naturals, for example, 275042 + ... + 316998.

It is an arithmetic number, because the mean of its divisors is an integer number (391656951).

Almost surely, 2^12420111140 is an apocalyptic number.

12420111140 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 12420111140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14099650236).

12420111140 is an abundant number, since it is smaller than the sum of its proper divisors (15779189332).

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

12420111140 is a wasteful number, since it uses less digits than its factorization.

12420111140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42045 (or 42024 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12420111140 its reverse (4111102421), we get a palindrome (16531213561).

The spelling of 12420111140 in words is "twelve billion, four hundred twenty million, one hundred eleven thousand, one hundred forty".