211322331011220 has 384 divisors, whose sum is σ = 697308195225600. Its totient is φ = 47141961984000.

The previous prime is 211322331011147. The next prime is 211322331011261. The reversal of 211322331011220 is 22110133223112.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 20574654685 + ... + 20574664955.

It is an arithmetic number, because the mean of its divisors is an integer number (1815906758400).

Almost surely, 2^{211322331011220} is an apocalyptic number.

211322331011220 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 211322331011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348654097612800).

211322331011220 is an abundant number, since it is smaller than the sum of its proper divisors (485985864214380).

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

211322331011220 is a wasteful number, since it uses less digits than its factorization.

211322331011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17527 (or 17525 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 211322331011220 its reverse (22110133223112), we get a palindrome (233432464234332).

The spelling of 211322331011220 in words is "two hundred eleven trillion, three hundred twenty-two billion, three hundred thirty-one million, eleven thousand, two hundred twenty".