212411080 has 192 divisors, whose sum is σ = 596516400. Its totient is φ = 67737600.

The previous prime is 212411077. The next prime is 212411083. The reversal of 212411080 is 80114212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212411077) and next prime (212411083).

It can be written as a sum of positive squares in 8 ways, for example, as 190937124 + 21473956 = 13818^2 + 4634^2 .

It is not an unprimeable number, because it can be changed into a prime (212411083) 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 47 ways as a sum of consecutive naturals, for example, 2103030 + ... + 2103130.

Almost surely, 2^212411080 is an apocalyptic number.

212411080 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 212411080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298258200).

212411080 is an abundant number, since it is smaller than the sum of its proper divisors (384105320).

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

212411080 is a wasteful number, since it uses less digits than its factorization.

212411080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 212411080 is about 14574.3294871497. The cubic root of 212411080 is about 596.6583494293.

Adding to 212411080 its reverse (80114212), we get a palindrome (292525292).

The spelling of 212411080 in words is "two hundred twelve million, four hundred eleven thousand, eighty".