211211331200 has 96 divisors (see below), whose sum is σ = 523999146060. Its totient is φ = 84121640960.

The previous prime is 211211331187. The next prime is 211211331223. The reversal of 211211331200 is 2133112112.

It can be written as a sum of positive squares in 6 ways, for example, as 25367569984 + 185843761216 = 159272^2 + 431096^2 .

It is a super-2 number, since 2×211211331200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 603962 + ... + 887238.

Almost surely, 2^211211331200 is an apocalyptic number.

211211331200 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 211211331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261999573030).

211211331200 is an abundant number, since it is smaller than the sum of its proper divisors (312787814860).

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

211211331200 is a wasteful number, since it uses less digits than its factorization.

211211331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283534 (or 283517 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 211211331200 its reverse (2133112112), we get a palindrome (213344443312).

The spelling of 211211331200 in words is "two hundred eleven billion, two hundred eleven million, three hundred thirty-one thousand, two hundred".