14172117120 has 576 divisors, whose sum is σ = 57480111000. Its totient is φ = 3208052736.

The previous prime is 14172117109. The next prime is 14172117163. The reversal of 14172117120 is 2171127141.

It can be written as a sum of positive squares in 4 ways, for example, as 6859814976 + 7312302144 = 82824^2 + 85512^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42053592 + ... + 42053928.

Almost surely, 2^14172117120 is an apocalyptic number.

14172117120 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 14172117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28740055500).

14172117120 is an abundant number, since it is smaller than the sum of its proper divisors (43307993880).

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

14172117120 is a wasteful number, since it uses less digits than its factorization.

14172117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The spelling of 14172117120 in words is "fourteen billion, one hundred seventy-two million, one hundred seventeen thousand, one hundred twenty".