12014432430 has 384 divisors, whose sum is σ = 40103368704. Its totient is φ = 2239902720.

The previous prime is 12014432401. The next prime is 12014432453. The reversal of 12014432430 is 3423441021.

12014432430 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-4 number, since 4×12014432430⁴ (a number of 41 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12014432430.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 12221719 + ... + 12222701.

It is an arithmetic number, because the mean of its divisors is an integer number (104435856).

Almost surely, 2^12014432430 is an apocalyptic number.

12014432430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12014432430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20051684352).

12014432430 is an abundant number, since it is smaller than the sum of its proper divisors (28088936274).

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

12014432430 is a wasteful number, since it uses less digits than its factorization.

12014432430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12014432430 its reverse (3423441021), we get a palindrome (15437873451).

It can be divided in two parts, 12014 and 432430, that added together give a palindrome (444444).

The spelling of 12014432430 in words is "twelve billion, fourteen million, four hundred thirty-two thousand, four hundred thirty".