14002005120 has 256 divisors, whose sum is σ = 48413998080. Its totient is φ = 3428188160.

The previous prime is 14002005089. The next prime is 14002005133. The reversal of 14002005120 is 2150020041.

It is a super-2 number, since 2×14002005120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14002005120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1333009 + ... + 1343471.

It is an arithmetic number, because the mean of its divisors is an integer number (189117180).

Almost surely, 2^14002005120 is an apocalyptic number.

14002005120 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 14002005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24206999040).

14002005120 is an abundant number, since it is smaller than the sum of its proper divisors (34411992960).

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

14002005120 is a wasteful number, since it uses less digits than its factorization.

14002005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10543 (or 10531 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 14002005120 its reverse (2150020041), we get a palindrome (16152025161).

The spelling of 14002005120 in words is "fourteen billion, two million, five thousand, one hundred twenty".