17112345120 has 480 divisors, whose sum is σ = 65531576880. Its totient is φ = 4205260800.

The previous prime is 17112345109. The next prime is 17112345157. The reversal of 17112345120 is 2154321171.

17112345120 is a `hidden beast` number, since 1 + 7 + 112 + 34 + 512 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 100881936 + 17011463184 = 10044^2 + 130428^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28472820 + ... + 28473420.

Almost surely, 2^17112345120 is an apocalyptic number.

17112345120 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 17112345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32765788440).

17112345120 is an abundant number, since it is smaller than the sum of its proper divisors (48419231760).

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

17112345120 is an equidigital number, since it uses as much as digits as its factorization.

17112345120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 17112345120 its reverse (2154321171), we get a palindrome (19266666291).

The spelling of 17112345120 in words is "seventeen billion, one hundred twelve million, three hundred forty-five thousand, one hundred twenty".