171213120 has 336 divisors, whose sum is σ = 674004240. Its totient is φ = 39518208.

The previous prime is 171213109. The next prime is 171213131. The reversal of 171213120 is 21312171.

It is a happy number.

171213120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (171213109) and next prime (171213131).

It can be written as a sum of positive squares in 8 ways, for example, as 23736384 + 147476736 = 4872^2 + 12144^2 .

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 = 171213093 and 171213102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636346 + ... + 636614.

It is an arithmetic number, because the mean of its divisors is an integer number (2005965).

Almost surely, 2^171213120 is an apocalyptic number.

171213120 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 171213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337002120).

171213120 is an abundant number, since it is smaller than the sum of its proper divisors (502791120).

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

171213120 is a wasteful number, since it uses less digits than its factorization.

171213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 309 counting only the distinct ones).

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

The square root of 171213120 is about 13084.8431400609. The cubic root of 171213120 is about 555.2804037175.

Adding to 171213120 its reverse (21312171), we get a palindrome (192525291).

The spelling of 171213120 in words is "one hundred seventy-one million, two hundred thirteen thousand, one hundred twenty".