17120005000 has 320 divisors, whose sum is σ = 48179577600. Its totient is φ = 5577600000.

The previous prime is 17120004953. The next prime is 17120005013. The reversal of 17120005000 is 50002171.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 102514917 + ... + 102515083.

It is an arithmetic number, because the mean of its divisors is an integer number (150561180).

Almost surely, 2^17120005000 is an apocalyptic number.

17120005000 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 17120005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24089788800).

17120005000 is an abundant number, since it is smaller than the sum of its proper divisors (31059572600).

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

17120005000 is a wasteful number, since it uses less digits than its factorization.

17120005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

Adding to 17120005000 its reverse (50002171), we get a palindrome (17170007171).

The spelling of 17120005000 in words is "seventeen billion, one hundred twenty million, five thousand".