14100013115120 has 80 divisors (see below), whose sum is σ = 33024785564160. Its totient is φ = 5598334359552.

The previous prime is 14100013115107. The next prime is 14100013115129. The reversal of 14100013115120 is 2151131000141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×14100013115120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14100013115092 and 14100013115101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14100013115129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136718294 + ... + 136821386.

It is an arithmetic number, because the mean of its divisors is an integer number (412809819552).

Almost surely, 2^{14100013115120} is an apocalyptic number.

14100013115120 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 14100013115120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16512392782080).

14100013115120 is an abundant number, since it is smaller than the sum of its proper divisors (18924772449040).

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

14100013115120 is a wasteful number, since it uses less digits than its factorization.

14100013115120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115722 (or 115716 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 20.

Adding to 14100013115120 its reverse (2151131000141), we get a palindrome (16251144115261).

The spelling of 14100013115120 in words is "fourteen trillion, one hundred billion, thirteen million, one hundred fifteen thousand, one hundred twenty".