210161120 has 144 divisors (see below), whose sum is σ = 561883392. Its totient is φ = 73835520.

The previous prime is 210161101. The next prime is 210161179. The reversal of 210161120 is 21161012.

It is a junction number, because it is equal to n+sod(n) for n = 210161095 and 210161104.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1100225 + ... + 1100415.

It is an arithmetic number, because the mean of its divisors is an integer number (3901968).

Almost surely, 2^210161120 is an apocalyptic number.

210161120 is a gapful number since it is divisible by the number (20) 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 210161120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280941696).

210161120 is an abundant number, since it is smaller than the sum of its proper divisors (351722272).

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

210161120 is a wasteful number, since it uses less digits than its factorization.

210161120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 210161120 is about 14496.9348484430. The cubic root of 210161120 is about 594.5441698613.

The spelling of 210161120 in words is "two hundred ten million, one hundred sixty-one thousand, one hundred twenty".