211120002000000 has 1344 divisors, whose sum is σ = 782972259076800. Its totient is φ = 54562636800000.

The previous prime is 211120001999999. The next prime is 211120002000001. The reversal of 211120002000000 is 200021112.

It is an interprime number because it is at equal distance from previous prime (211120001999999) and next prime (211120002000001).

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

It is not an unprimeable number, because it can be changed into a prime (211120002000001) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 239093999559 + ... + 239094000441.

Almost surely, 2^{211120002000000} is an apocalyptic number.

211120002000000 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 211120002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391486129538400).

211120002000000 is an abundant number, since it is smaller than the sum of its proper divisors (571852257076800).

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

211120002000000 is an frugal number, since it uses more digits than its factorization.

211120002000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1289 counting only the distinct ones).

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

Adding to 211120002000000 its reverse (200021112), we get a palindrome (211120202021112).

The spelling of 211120002000000 in words is "two hundred eleven trillion, one hundred twenty billion, two million", and thus it is an aban number.