171222120 has 256 divisors, whose sum is σ = 610675200. Its totient is φ = 42577920.

The previous prime is 171222089. The next prime is 171222131. The reversal of 171222120 is 21222171.

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 = 171222093 and 171222102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1515184 + ... + 1515296.

It is an arithmetic number, because the mean of its divisors is an integer number (2385450).

Almost surely, 2^171222120 is an apocalyptic number.

171222120 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 171222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305337600).

171222120 is an abundant number, since it is smaller than the sum of its proper divisors (439453080).

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

171222120 is a wasteful number, since it uses less digits than its factorization.

171222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 171222120 is about 13085.1870448993. The cubic root of 171222120 is about 555.2901331823.

Adding to 171222120 its reverse (21222171), we get a palindrome (192444291).

It can be divided in two parts, 1712 and 22120, that added together give a palindrome (23832).

The spelling of 171222120 in words is "one hundred seventy-one million, two hundred twenty-two thousand, one hundred twenty".