211330122320 has 160 divisors (see below), whose sum is σ = 516914058240. Its totient is φ = 80243343360.

The previous prime is 211330122277. The next prime is 211330122337. The reversal of 211330122320 is 23221033112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211330122292 and 211330122301.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 81498944 + ... + 81501536.

It is an arithmetic number, because the mean of its divisors is an integer number (3230712864).

Almost surely, 2^211330122320 is an apocalyptic number.

211330122320 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 211330122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258457029120).

211330122320 is an abundant number, since it is smaller than the sum of its proper divisors (305583935920).

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

211330122320 is a wasteful number, since it uses less digits than its factorization.

211330122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3253 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 211330122320 its reverse (23221033112), we get a palindrome (234551155432).

The spelling of 211330122320 in words is "two hundred eleven billion, three hundred thirty million, one hundred twenty-two thousand, three hundred twenty".