171201120 has 96 divisors (see below), whose sum is σ = 544991328. Its totient is φ = 45170688.

The previous prime is 171201083. The next prime is 171201139. The reversal of 171201120 is 21102171.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 171201120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44722 + ... + 48398.

It is an arithmetic number, because the mean of its divisors is an integer number (5676993).

Almost surely, 2^171201120 is an apocalyptic number.

171201120 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 171201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272495664).

171201120 is an abundant number, since it is smaller than the sum of its proper divisors (373790208).

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

171201120 is a wasteful number, since it uses less digits than its factorization.

171201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

The square root of 171201120 is about 13084.3845862157. The cubic root of 171201120 is about 555.2674305674.

Adding to 171201120 its reverse (21102171), we get a palindrome (192303291).

The spelling of 171201120 in words is "one hundred seventy-one million, two hundred one thousand, one hundred twenty".