14113204400120 has 128 divisors (see below), whose sum is σ = 37275903129600. Its totient is φ = 4707533293056.

The previous prime is 14113204400117. The next prime is 14113204400123. The reversal of 14113204400120 is 2100440231141.

It is an interprime number because it is at equal distance from previous prime (14113204400117) and next prime (14113204400123).

It is a super-3 number, since 3×14113204400120³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14113204400123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104599661 + ... + 104734499.

It is an arithmetic number, because the mean of its divisors is an integer number (291217993200).

Almost surely, 2^{14113204400120} is an apocalyptic number.

14113204400120 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 14113204400120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18637951564800).

14113204400120 is an abundant number, since it is smaller than the sum of its proper divisors (23162698729480).

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

14113204400120 is a wasteful number, since it uses less digits than its factorization.

14113204400120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144997 (or 144993 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 14113204400120 its reverse (2100440231141), we get a palindrome (16213644631261).

The spelling of 14113204400120 in words is "fourteen trillion, one hundred thirteen billion, two hundred four million, four hundred thousand, one hundred twenty".