212081160 has 128 divisors (see below), whose sum is σ = 679726080. Its totient is φ = 52808448.

The previous prime is 212081159. The next prime is 212081227. The reversal of 212081160 is 61180212.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117787 + ... + 119573.

It is an arithmetic number, because the mean of its divisors is an integer number (5310360).

Almost surely, 2^212081160 is an apocalyptic number.

212081160 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 212081160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339863040).

212081160 is an abundant number, since it is smaller than the sum of its proper divisors (467644920).

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

212081160 is a wasteful number, since it uses less digits than its factorization.

212081160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 212081160 is about 14563.0065577133. The cubic root of 212081160 is about 596.3492765265.

The spelling of 212081160 in words is "two hundred twelve million, eighty-one thousand, one hundred sixty".