211120200000000 has 1080 divisors, whose sum is σ = 776354702115564. Its totient is φ = 55211520000000.

The previous prime is 211120199999909. The next prime is 211120200000041. The reversal of 211120200000000 is 2021112.

It can be written as a sum of positive squares in 18 ways, for example, as 208887590267136 + 2232609732864 = 14452944^2 + 1494192^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 95399998894 + ... + 95400001106.

Almost surely, 2^{211120200000000} is an apocalyptic number.

211120200000000 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 211120200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388177351057782).

211120200000000 is an abundant number, since it is smaller than the sum of its proper divisors (565234502115564).

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

211120200000000 is an frugal number, since it uses more digits than its factorization.

211120200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 211120200000000 its reverse (2021112), we get a palindrome (211120202021112).

The spelling of 211120200000000 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred million", and thus it is an aban number.