2012221120 has 224 divisors, whose sum is σ = 6038258688. Its totient is φ = 621637632.

The previous prime is 2012221111. The next prime is 2012221121. The reversal of 2012221120 is 211222102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 2012221120.

It is not an unprimeable number, because it can be changed into a prime (2012221121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1251357 + ... + 1252963.

It is an arithmetic number, because the mean of its divisors is an integer number (26956512).

Almost surely, 2^2012221120 is an apocalyptic number.

2012221120 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 2012221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019129344).

2012221120 is an abundant number, since it is smaller than the sum of its proper divisors (4026037568).

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

2012221120 is a wasteful number, since it uses less digits than its factorization.

2012221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2012221120 is about 44857.7877296685. The cubic root of 2012221120 is about 1262.4821148334.

Adding to 2012221120 its reverse (211222102), we get a palindrome (2223443222).

The spelling of 2012221120 in words is "two billion, twelve million, two hundred twenty-one thousand, one hundred twenty".