14120034100 has 72 divisors (see below), whose sum is σ = 30886023168. Its totient is φ = 5602934400.

The previous prime is 14120034067. The next prime is 14120034113. The reversal of 14120034100 is 143002141.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8489869 + ... + 8491531.

It is an arithmetic number, because the mean of its divisors is an integer number (428972544).

Almost surely, 2^14120034100 is an apocalyptic number.

14120034100 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 14120034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15443011584).

14120034100 is an abundant number, since it is smaller than the sum of its proper divisors (16765989068).

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

14120034100 is a wasteful number, since it uses less digits than its factorization.

14120034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 14120034100 its reverse (143002141), we get a palindrome (14263036241).

The spelling of 14120034100 in words is "fourteen billion, one hundred twenty million, thirty-four thousand, one hundred".