12142434320 has 40 divisors (see below), whose sum is σ = 28490181720. Its totient is φ = 4812410880.

The previous prime is 12142434307. The next prime is 12142434347. The reversal of 12142434320 is 2343424121.

12142434320 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 6346352896 + 5796081424 = 79664^2 + 76132^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×12142434320² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12142434320.

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 7 ways as a sum of consecutive naturals, for example, 687521 + ... + 704960.

It is an arithmetic number, because the mean of its divisors is an integer number (712254543).

Almost surely, 2^12142434320 is an apocalyptic number.

12142434320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12142434320 is an abundant number, since it is smaller than the sum of its proper divisors (16347747400).

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

12142434320 is a wasteful number, since it uses less digits than its factorization.

12142434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392603 (or 1392597 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 12142434320 its reverse (2343424121), we get a palindrome (14485858441).

The spelling of 12142434320 in words is "twelve billion, one hundred forty-two million, four hundred thirty-four thousand, three hundred twenty".