211120202120000 has 560 divisors, whose sum is σ = 544574836832400. Its totient is φ = 81129185280000.

The previous prime is 211120202119891. The next prime is 211120202120033. The reversal of 211120202120000 is 21202021112.

It can be written as a sum of positive squares in 40 ways, for example, as 206767604501056 + 4352597618944 = 14379416^2 + 2086288^2 .

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 79 ways as a sum of consecutive naturals, for example, 29614276436 + ... + 29614283564.

Almost surely, 2^{211120202120000} is an apocalyptic number.

211120202120000 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 211120202120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272287418416200).

211120202120000 is an abundant number, since it is smaller than the sum of its proper divisors (333454634712400).

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

211120202120000 is an equidigital number, since it uses as much as digits as its factorization.

211120202120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7504 (or 7479 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211120202120000 its reverse (21202021112), we get a palindrome (211141404141112).

The spelling of 211120202120000 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred two million, one hundred twenty thousand".