2223313212120 has 768 divisors, whose sum is σ = 9070316236800. Its totient is φ = 423340369920.

The previous prime is 2223313212073. The next prime is 2223313212139. The reversal of 2223313212120 is 212123133222.

It is a super-2 number, since 2×2223313212120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 217051719 + ... + 217061961.

It is an arithmetic number, because the mean of its divisors is an integer number (11810307600).

Almost surely, 2^{2223313212120} is an apocalyptic number.

2223313212120 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 2223313212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535158118400).

2223313212120 is an abundant number, since it is smaller than the sum of its proper divisors (6847003024680).

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

2223313212120 is a wasteful number, since it uses less digits than its factorization.

2223313212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10440 (or 10423 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2223313212120 its reverse (212123133222), we get a palindrome (2435436345342).

The spelling of 2223313212120 in words is "two trillion, two hundred twenty-three billion, three hundred thirteen million, two hundred twelve thousand, one hundred twenty".