14121314101104 has 240 divisors, whose sum is σ = 42685060624128. Its totient is φ = 4011035126784.

The previous prime is 14121314101099. The next prime is 14121314101133. The reversal of 14121314101104 is 40110141312141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354546439 + ... + 354586265.

Almost surely, 2^{14121314101104} is an apocalyptic number.

14121314101104 is a gapful number since it is divisible by the number (14) 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 14121314101104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21342530312064).

14121314101104 is an abundant number, since it is smaller than the sum of its proper divisors (28563746523024).

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

14121314101104 is a wasteful number, since it uses less digits than its factorization.

14121314101104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40732 (or 40719 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 14121314101104 its reverse (40110141312141), we get a palindrome (54231455413245).

The spelling of 14121314101104 in words is "fourteen trillion, one hundred twenty-one billion, three hundred fourteen million, one hundred one thousand, one hundred four".