17121199104 has 297 divisors, whose sum is σ = 52313154517. Its totient is φ = 5393031168.

The previous prime is 17121199097. The next prime is 17121199163. The reversal of 17121199104 is 40199112171.

It is a happy number.

The square root of 17121199104 is 130848.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8977941504 + 8143257600 = 94752^2 + 90240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 364280809 + ... + 364280855.

Almost surely, 2^17121199104 is an apocalyptic number.

17121199104 is the 130848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17121199104

17121199104 is an abundant number, since it is smaller than the sum of its proper divisors (35191955413).

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

17121199104 is an equidigital number, since it uses as much as digits as its factorization.

17121199104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

Multiplying 17121199104 by its sum of digits (36), we get a square (616363167744 = 785088²).

17121199104 divided by its sum of digits (36) gives a square (475588864 = 21808²).

It can be divided in two parts, 17121 and 199104, that added together give a square (216225 = 465²).

The spelling of 17121199104 in words is "seventeen billion, one hundred twenty-one million, one hundred ninety-nine thousand, one hundred four".