12102442440 has 128 divisors (see below), whose sum is σ = 39640043520. Its totient is φ = 2931552000.

The previous prime is 12102442403. The next prime is 12102442447. The reversal of 12102442440 is 4424420121.

12102442440 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-2 number, since 2×12102442440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12102442440.

It is not an unprimeable number, because it can be changed into a prime (12102442447) by changing a digit.

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, 2065515 + ... + 2071365.

It is an arithmetic number, because the mean of its divisors is an integer number (309687840).

Almost surely, 2^12102442440 is an apocalyptic number.

12102442440 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 12102442440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19820021760).

12102442440 is an abundant number, since it is smaller than the sum of its proper divisors (27537601080).

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

12102442440 is a wasteful number, since it uses less digits than its factorization.

12102442440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7443 (or 7439 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 12102442440 its reverse (4424420121), we get a palindrome (16526862561).

The spelling of 12102442440 in words is "twelve billion, one hundred two million, four hundred forty-two thousand, four hundred forty".