2112000220 has 96 divisors (see below), whose sum is σ = 4940974080. Its totient is φ = 751895040.

The previous prime is 2112000211. The next prime is 2112000229. The reversal of 2112000220 is 220002112.

It is an interprime number because it is at equal distance from previous prime (2112000211) and next prime (2112000229).

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

It is a junction number, because it is equal to n+sod(n) for n = 2112000197 and 2112000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112000229) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2380617 + ... + 2381503.

It is an arithmetic number, because the mean of its divisors is an integer number (51468480).

Almost surely, 2^2112000220 is an apocalyptic number.

2112000220 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 2112000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470487040).

2112000220 is an abundant number, since it is smaller than the sum of its proper divisors (2828973860).

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

2112000220 is a wasteful number, since it uses less digits than its factorization.

2112000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2112000220 is about 45956.5035658719. The cubic root of 2112000220 is about 1283.0137765474.

Adding to 2112000220 its reverse (220002112), we get a palindrome (2332002332).

The spelling of 2112000220 in words is "two billion, one hundred twelve million, two hundred twenty", and thus it is an aban number.