14122113104000 has 512 divisors, whose sum is σ = 38763770572800. Its totient is φ = 5073913344000.

The previous prime is 14122113103999. The next prime is 14122113104023. The reversal of 14122113104000 is 40131122141.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5553326729 + ... + 5553329271.

It is an arithmetic number, because the mean of its divisors is an integer number (75710489400).

Almost surely, 2^{14122113104000} is an apocalyptic number.

14122113104000 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 14122113104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19381885286400).

14122113104000 is an abundant number, since it is smaller than the sum of its proper divisors (24641657468800).

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

14122113104000 is a wasteful number, since it uses less digits than its factorization.

14122113104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2949 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 14122113104000 its reverse (40131122141), we get a palindrome (14162244226141).

The spelling of 14122113104000 in words is "fourteen trillion, one hundred twenty-two billion, one hundred thirteen million, one hundred four thousand".