2111120122200 has 768 divisors, whose sum is σ = 7498847185920. Its totient is φ = 488291696640.

The previous prime is 2111120122151. The next prime is 2111120122213. The reversal of 2111120122200 is 22210211112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2111120122200.

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 191 ways as a sum of consecutive naturals, for example, 928780264 + ... + 928782536.

It is an arithmetic number, because the mean of its divisors is an integer number (9764123940).

Almost surely, 2^{2111120122200} is an apocalyptic number.

2111120122200 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 2111120122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749423592960).

2111120122200 is an abundant number, since it is smaller than the sum of its proper divisors (5387727063720).

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

2111120122200 is a wasteful number, since it uses less digits than its factorization.

2111120122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2111120122200 its reverse (22210211112), we get a palindrome (2133330333312).

The spelling of 2111120122200 in words is "two trillion, one hundred eleven billion, one hundred twenty million, one hundred twenty-two thousand, two hundred".