111120211000000 has 588 divisors, whose sum is σ = 295715595729424. Its totient is φ = 41416243200000.

The previous prime is 111120210999989. The next prime is 111120211000063. The reversal of 111120211000000 is 112021111.

111120211000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 83 ways as a sum of consecutive naturals, for example, 29766998134 + ... + 29767001866.

Almost surely, 2^{111120211000000} is an apocalyptic number.

111120211000000 is a gapful number since it is divisible by the number (10) 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 111120211000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147857797864712).

111120211000000 is an abundant number, since it is smaller than the sum of its proper divisors (184595384729424).

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

111120211000000 is an frugal number, since it uses more digits than its factorization.

111120211000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 111120211000000 its reverse (112021111), we get a palindrome (111120323021111).

The spelling of 111120211000000 in words is "one hundred eleven trillion, one hundred twenty billion, two hundred eleven million", and thus it is an aban number.