211332001220 has 24 divisors (see below), whose sum is σ = 443816079000. Its totient is φ = 84529204992.

The previous prime is 211332001219. The next prime is 211332001241. The reversal of 211332001220 is 22100233112.

211332001220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1159266304 + 210172734916 = 34048^2 + 458446^2 .

It is a super-2 number, since 2×211332001220² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285506 + ... + 710054.

It is an arithmetic number, because the mean of its divisors is an integer number (18492336625).

Almost surely, 2^211332001220 is an apocalyptic number.

211332001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211332001220 is an abundant number, since it is smaller than the sum of its proper divisors (232484077780).

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

211332001220 is a wasteful number, since it uses less digits than its factorization.

211332001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449447 (or 449445 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 211332001220 its reverse (22100233112), we get a palindrome (233432234332).

The spelling of 211332001220 in words is "two hundred eleven billion, three hundred thirty-two million, one thousand, two hundred twenty".