17221120 has 120 divisors (see below), whose sum is σ = 48760272. Its totient is φ = 5713920.

The previous prime is 17221117. The next prime is 17221147. The reversal of 17221120 is 2112271.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 17221094 and 17221103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 555505 + ... + 555535.

Almost surely, 2^17221120 is an apocalyptic number.

17221120 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 17221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24380136).

17221120 is an abundant number, since it is smaller than the sum of its proper divisors (31539152).

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

17221120 is an frugal number, since it uses more digits than its factorization.

17221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 17221120 is about 4149.8337316090. The cubic root of 17221120 is about 258.2381871835.

Adding to 17221120 its reverse (2112271), we get a palindrome (19333391).

The spelling of 17221120 in words is "seventeen million, two hundred twenty-one thousand, one hundred twenty".