2210223213120 has 896 divisors, whose sum is σ = 8108570308608. Its totient is φ = 505825689600.

The previous prime is 2210223213083. The next prime is 2210223213131. The reversal of 2210223213120 is 213123220122.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4085440050 + ... + 4085440590.

It is an arithmetic number, because the mean of its divisors is an integer number (9049743648).

Almost surely, 2^{2210223213120} is an apocalyptic number.

2210223213120 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 2210223213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054285154304).

2210223213120 is an abundant number, since it is smaller than the sum of its proper divisors (5898347095488).

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

2210223213120 is a wasteful number, since it uses less digits than its factorization.

2210223213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2210223213120 its reverse (213123220122), we get a palindrome (2423346433242).

The spelling of 2210223213120 in words is "two trillion, two hundred ten billion, two hundred twenty-three million, two hundred thirteen thousand, one hundred twenty".