171141120 has 192 divisors, whose sum is σ = 609336000. Its totient is φ = 45563904.

The previous prime is 171141119. The next prime is 171141133. The reversal of 171141120 is 21141171.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 171141093 and 171141102.

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, 276171 + ... + 276789.

It is an arithmetic number, because the mean of its divisors is an integer number (3173625).

Almost surely, 2^171141120 is an apocalyptic number.

171141120 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 171141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304668000).

171141120 is an abundant number, since it is smaller than the sum of its proper divisors (438194880).

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

171141120 is an equidigital number, since it uses as much as digits as its factorization.

171141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 171141120 is about 13082.0915758911. The cubic root of 171141120 is about 555.2025557219.

Adding to 171141120 its reverse (21141171), we get a palindrome (192282291).

The spelling of 171141120 in words is "one hundred seventy-one million, one hundred forty-one thousand, one hundred twenty".