211330442323000 has 512 divisors, whose sum is σ = 692829807022080. Its totient is φ = 58158777600000.

The previous prime is 211330442322991. The next prime is 211330442323001. The reversal of 211330442323000 is 323244033112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 211330442323000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211330442323001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18433450 + ... + 27612550.

It is an arithmetic number, because the mean of its divisors is an integer number (1353183216840).

Almost surely, 2^{211330442323000} is an apocalyptic number.

211330442323000 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 211330442323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346414903511040).

211330442323000 is an abundant number, since it is smaller than the sum of its proper divisors (481499364699080).

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

211330442323000 is a wasteful number, since it uses less digits than its factorization.

211330442323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9179176 (or 9179162 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 211330442323000 its reverse (323244033112), we get a palindrome (211653686356112).

The spelling of 211330442323000 in words is "two hundred eleven trillion, three hundred thirty billion, four hundred forty-two million, three hundred twenty-three thousand".