212211311000 has 256 divisors, whose sum is σ = 553115122560. Its totient is φ = 75712665600.

The previous prime is 212211310999. The next prime is 212211311003. The reversal of 212211311000 is 113112212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212211311003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46160702 + ... + 46165298.

Almost surely, 2^212211311000 is an apocalyptic number.

212211311000 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 212211311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276557561280).

212211311000 is an abundant number, since it is smaller than the sum of its proper divisors (340903811560).

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

212211311000 is a wasteful number, since it uses less digits than its factorization.

212211311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4751 (or 4737 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 212211311000 its reverse (113112212), we get a palindrome (212324423212).

The spelling of 212211311000 in words is "two hundred twelve billion, two hundred eleven million, three hundred eleven thousand".