222253311120 has 320 divisors, whose sum is σ = 745152307200. Its totient is φ = 54631413760.

The previous prime is 222253311103. The next prime is 222253311131. The reversal of 222253311120 is 21113352222.

222253311120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115096555 + ... + 115098485.

It is an arithmetic number, because the mean of its divisors is an integer number (2328600960).

Almost surely, 2^222253311120 is an apocalyptic number.

222253311120 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 222253311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372576153600).

222253311120 is an abundant number, since it is smaller than the sum of its proper divisors (522898996080).

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

222253311120 is a wasteful number, since it uses less digits than its factorization.

222253311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 222253311120 its reverse (21113352222), we get a palindrome (243366663342).

The spelling of 222253311120 in words is "two hundred twenty-two billion, two hundred fifty-three million, three hundred eleven thousand, one hundred twenty".