14120171100 has 864 divisors, whose sum is σ = 58691243520. Its totient is φ = 2866544640.

The previous prime is 14120171089. The next prime is 14120171111. The reversal of 14120171100 is 117102141.

It is an interprime number because it is at equal distance from previous prime (14120171089) and next prime (14120171111).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 54942172 + ... + 54942428.

It is an arithmetic number, because the mean of its divisors is an integer number (67929680).

Almost surely, 2^14120171100 is an apocalyptic number.

14120171100 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 14120171100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29345621760).

14120171100 is an abundant number, since it is smaller than the sum of its proper divisors (44571072420).

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

14120171100 is a wasteful number, since it uses less digits than its factorization.

14120171100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

Adding to 14120171100 its reverse (117102141), we get a palindrome (14237273241).

The spelling of 14120171100 in words is "fourteen billion, one hundred twenty million, one hundred seventy-one thousand, one hundred".