171122280 has 128 divisors (see below), whose sum is σ = 592807680. Its totient is φ = 38707200.

The previous prime is 171122269. The next prime is 171122333. The reversal of 171122280 is 82221171.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 171122280.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83832 + ... + 85848.

It is an arithmetic number, because the mean of its divisors is an integer number (4631310).

Almost surely, 2^171122280 is an apocalyptic number.

171122280 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 171122280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296403840).

171122280 is an abundant number, since it is smaller than the sum of its proper divisors (421685400).

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

171122280 is a wasteful number, since it uses less digits than its factorization.

171122280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 171122280 is about 13081.3714877302. The cubic root of 171122280 is about 555.1821818924.

The spelling of 171122280 in words is "one hundred seventy-one million, one hundred twenty-two thousand, two hundred eighty".