17120013120 has 896 divisors, whose sum is σ = 73386086400. Its totient is φ = 3674087424.

The previous prime is 17120013107. The next prime is 17120013121. The reversal of 17120013120 is 2131002171.

It is a happy number.

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 = 17120013093 and 17120013102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17120013121) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 75418447 + ... + 75418673.

Almost surely, 2^17120013120 is an apocalyptic number.

17120013120 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 17120013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36693043200).

17120013120 is an abundant number, since it is smaller than the sum of its proper divisors (56266073280).

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

17120013120 is a wasteful number, since it uses less digits than its factorization.

17120013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 17120013120 its reverse (2131002171), we get a palindrome (19251015291).

The spelling of 17120013120 in words is "seventeen billion, one hundred twenty million, thirteen thousand, one hundred twenty".