12141344040 has 128 divisors (see below), whose sum is σ = 41649672960. Its totient is φ = 2773684224.

The previous prime is 12141344011. The next prime is 12141344051. The reversal of 12141344040 is 4044314121.

12141344040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 12141344040.

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, 2700034 + ... + 2704526.

It is an arithmetic number, because the mean of its divisors is an integer number (325388070).

Almost surely, 2^12141344040 is an apocalyptic number.

12141344040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12141344040 is an abundant number, since it is smaller than the sum of its proper divisors (29508328920).

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

12141344040 is a wasteful number, since it uses less digits than its factorization.

12141344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7731 (or 7727 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12141344040 its reverse (4044314121), we get a palindrome (16185658161).

The spelling of 12141344040 in words is "twelve billion, one hundred forty-one million, three hundred forty-four thousand, forty".