14144414200120 has 128 divisors (see below), whose sum is σ = 33507136512000. Its totient is φ = 5363317960704.

The previous prime is 14144414200001. The next prime is 14144414200139. The reversal of 14144414200120 is 2100241444141.

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 31 ways as a sum of consecutive naturals, for example, 52802281 + ... + 53069479.

It is an arithmetic number, because the mean of its divisors is an integer number (261774504000).

Almost surely, 2^{14144414200120} is an apocalyptic number.

14144414200120 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 14144414200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16753568256000).

14144414200120 is an abundant number, since it is smaller than the sum of its proper divisors (19362722311880).

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

14144414200120 is a wasteful number, since it uses less digits than its factorization.

14144414200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267749 (or 267745 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 14144414200120 its reverse (2100241444141), we get a palindrome (16244655644261).

The spelling of 14144414200120 in words is "fourteen trillion, one hundred forty-four billion, four hundred fourteen million, two hundred thousand, one hundred twenty".