14122034004 has 192 divisors, whose sum is σ = 37477859328. Its totient is φ = 4109184000.

The previous prime is 14122033999. The next prime is 14122034053. The reversal of 14122034004 is 40043022141.

14122034004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 60609472 + ... + 60609704.

It is an arithmetic number, because the mean of its divisors is an integer number (195197184).

Almost surely, 2^14122034004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14122034004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18738929664).

14122034004 is an abundant number, since it is smaller than the sum of its proper divisors (23355825324).

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

14122034004 is a wasteful number, since it uses less digits than its factorization.

14122034004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 14122034004 its reverse (40043022141), we get a palindrome (54165056145).

The spelling of 14122034004 in words is "fourteen billion, one hundred twenty-two million, thirty-four thousand, four".