216171120 has 80 divisors (see below), whose sum is σ = 731060352. Its totient is φ = 52404480.

The previous prime is 216171101. The next prime is 216171127. The reversal of 216171120 is 21171612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216171127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 38302 + ... + 43581.

Almost surely, 2^216171120 is an apocalyptic number.

216171120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216171120 is an abundant number, since it is smaller than the sum of its proper divisors (514889232).

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

216171120 is a wasteful number, since it uses less digits than its factorization.

216171120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81910 (or 81904 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 216171120 is about 14702.7589247733. The cubic root of 216171120 is about 600.1584026218.

The spelling of 216171120 in words is "two hundred sixteen million, one hundred seventy-one thousand, one hundred twenty".