211120122221120 has 168 divisors, whose sum is σ = 586281209879736. Its totient is φ = 72201712214016.

The previous prime is 211120122221119. The next prime is 211120122221123. The reversal of 211120122221120 is 21122221021112.

It can be written as a sum of positive squares in 4 ways, for example, as 11123505676864 + 199996616544256 = 3335192^2 + 14142016^2 .

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 = 211120122221092 and 211120122221101.

It is not an unprimeable number, because it can be changed into a prime (211120122221123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10732589 + ... + 23182508.

It is an arithmetic number, because the mean of its divisors is an integer number (3489769106427).

Almost surely, 2^{211120122221120} is an apocalyptic number.

211120122221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120122221120 is an abundant number, since it is smaller than the sum of its proper divisors (375161087658616).

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

211120122221120 is a wasteful number, since it uses less digits than its factorization.

211120122221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33915525 (or 33915508 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 211120122221120 its reverse (21122221021112), we get a palindrome (232242343242232).

The spelling of 211120122221120 in words is "two hundred eleven trillion, one hundred twenty billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty".