14101701120 has 720 divisors, whose sum is σ = 55598863320. Its totient is φ = 3282960384.

The previous prime is 14101701041. The next prime is 14101701157. The reversal of 14101701120 is 2110710141.

It can be written as a sum of positive squares in 4 ways, for example, as 6495070464 + 7606630656 = 80592^2 + 87216^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 14101701093 and 14101701102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 158446036 + ... + 158446124.

Almost surely, 2^14101701120 is an apocalyptic number.

14101701120 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 14101701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27799431660).

14101701120 is an abundant number, since it is smaller than the sum of its proper divisors (41497162200).

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

14101701120 is a wasteful number, since it uses less digits than its factorization.

14101701120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 135 counting only the distinct ones).

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

The spelling of 14101701120 in words is "fourteen billion, one hundred one million, seven hundred one thousand, one hundred twenty".