2112013120 has 112 divisors (see below), whose sum is σ = 5766133248. Its totient is φ = 721797120.

The previous prime is 2112013117. The next prime is 2112013133. The reversal of 2112013120 is 213102112.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 2112013120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 789385 + ... + 792055.

Almost surely, 2^2112013120 is an apocalyptic number.

2112013120 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 2112013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883066624).

2112013120 is an abundant number, since it is smaller than the sum of its proper divisors (3654120128).

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

2112013120 is a wasteful number, since it uses less digits than its factorization.

2112013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 3038 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2112013120 is about 45956.6439157604. The cubic root of 2112013120 is about 1283.0163887384.

Adding to 2112013120 its reverse (213102112), we get a palindrome (2325115232).

The spelling of 2112013120 in words is "two billion, one hundred twelve million, thirteen thousand, one hundred twenty".