211323302011120 has 320 divisors, whose sum is σ = 544541891338368. Its totient is φ = 75771002880000.

The previous prime is 211323302011117. The next prime is 211323302011127. The reversal of 211323302011120 is 21110203323112.

It is a junction number, because it is equal to n+sod(n) for n = 211323302011091 and 211323302011100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211323302011127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29297556634 + ... + 29297563846.

Almost surely, 2^{211323302011120} is an apocalyptic number.

211323302011120 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 211323302011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272270945669184).

211323302011120 is an abundant number, since it is smaller than the sum of its proper divisors (333218589327248).

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

211323302011120 is a wasteful number, since it uses less digits than its factorization.

211323302011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10372 (or 10366 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 211323302011120 its reverse (21110203323112), we get a palindrome (232433505334232).

The spelling of 211323302011120 in words is "two hundred eleven trillion, three hundred twenty-three billion, three hundred two million, eleven thousand, one hundred twenty".