2013222120 has 256 divisors, whose sum is σ = 7507261440. Its totient is φ = 420553728.

The previous prime is 2013222091. The next prime is 2013222143. The reversal of 2013222120 is 212223102.

It is a happy number.

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 2013222120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1167579 + ... + 1169301.

It is an arithmetic number, because the mean of its divisors is an integer number (29325240).

Almost surely, 2^2013222120 is an apocalyptic number.

2013222120 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 2013222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753630720).

2013222120 is an abundant number, since it is smaller than the sum of its proper divisors (5494039320).

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

2013222120 is a wasteful number, since it uses less digits than its factorization.

2013222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2013222120 is about 44868.9438253231. The cubic root of 2013222120 is about 1262.6914250144.

Adding to 2013222120 its reverse (212223102), we get a palindrome (2225445222).

The spelling of 2013222120 in words is "two billion, thirteen million, two hundred twenty-two thousand, one hundred twenty".