212080321 has 12 divisors (see below), whose sum is σ = 226792332. Its totient is φ = 197636096.

The previous prime is 212080301. The next prime is 212080339. The reversal of 212080321 is 123080212.

It can be written as a sum of positive squares in 6 ways, for example, as 11999296 + 200081025 = 3464^2 + 14145^2 .

It is not a de Polignac number, because 212080321 - 2²³ = 203691713 is a prime.

It is a super-4 number, since 4×212080321⁴ (a number of 34 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212080301) 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 11 ways as a sum of consecutive naturals, for example, 216585 + ... + 217561.

It is an arithmetic number, because the mean of its divisors is an integer number (18899361).

Almost surely, 2^212080321 is an apocalyptic number.

It is an amenable number.

212080321 is a deficient number, since it is larger than the sum of its proper divisors (14712011).

212080321 is an equidigital number, since it uses as much as digits as its factorization.

212080321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 212080321 is about 14562.9777518199. The cubic root of 212080321 is about 596.3484901331.

The spelling of 212080321 in words is "two hundred twelve million, eighty thousand, three hundred twenty-one".