14200120201300 has 108 divisors (see below), whose sum is σ = 33893133192828. Its totient is φ = 5160186944000.

The previous prime is 14200120201297. The next prime is 14200120201327. The reversal of 14200120201300 is 310202100241.

It can be written as a sum of positive squares in 6 ways, for example, as 3168236242116 + 11031883959184 = 1779954^2 + 3321428^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17523894 + ... + 18316306.

It is an arithmetic number, because the mean of its divisors is an integer number (313825307341).

Almost surely, 2^{14200120201300} is an apocalyptic number.

14200120201300 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 14200120201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16946566596414).

14200120201300 is an abundant number, since it is smaller than the sum of its proper divisors (19693012991528).

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

14200120201300 is a wasteful number, since it uses less digits than its factorization.

14200120201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793930 (or 793912 counting only the distinct ones).

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

Adding to 14200120201300 its reverse (310202100241), we get a palindrome (14510322301541).

The spelling of 14200120201300 in words is "fourteen trillion, two hundred billion, one hundred twenty million, two hundred one thousand, three hundred".