212641380 has 108 divisors (see below), whose sum is σ = 750351420. Its totient is φ = 48601728.

The previous prime is 212641349. The next prime is 212641433. The reversal of 212641380 is 83146212.

212641380 is a `hidden beast` number, since 2 + 12 + 641 + 3 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105021504 + 107619876 = 10248^2 + 10374^2 .

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 35 ways as a sum of consecutive naturals, for example, 3235 + ... + 20874.

Almost surely, 2^212641380 is an apocalyptic number.

212641380 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 212641380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375175710).

212641380 is an abundant number, since it is smaller than the sum of its proper divisors (537710040).

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

212641380 is a wasteful number, since it uses less digits than its factorization.

212641380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24138 (or 24126 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 212641380 is about 14582.2282247947. The cubic root of 212641380 is about 596.8739075298.

Adding to 212641380 its reverse (83146212), we get a palindrome (295787592).

The spelling of 212641380 in words is "two hundred twelve million, six hundred forty-one thousand, three hundred eighty".