2111205120 has 144 divisors (see below), whose sum is σ = 6853957152. Its totient is φ = 553697280.

The previous prime is 2111205077. The next prime is 2111205137. The reversal of 2111205120 is 215021112.

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 2111205120.

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 15 ways as a sum of consecutive naturals, for example, 229734 + ... + 238746.

Almost surely, 2^2111205120 is an apocalyptic number.

2111205120 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 2111205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426978576).

2111205120 is an abundant number, since it is smaller than the sum of its proper divisors (4742752032).

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

2111205120 is an equidigital number, since it uses as much as digits as its factorization.

2111205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9098 (or 9084 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 2111205120 is about 45947.8521804883. The cubic root of 2111205120 is about 1282.8527518964.

Adding to 2111205120 its reverse (215021112), we get a palindrome (2326226232).

The spelling of 2111205120 in words is "two billion, one hundred eleven million, two hundred five thousand, one hundred twenty".