222113213213312 has 256 divisors, whose sum is σ = 464152550400000. Its totient is φ = 105773242798080.

The previous prime is 222113213213299. The next prime is 222113213213347. The reversal of 222113213213312 is 213312312311222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97976714003 + ... + 97976716269.

It is an arithmetic number, because the mean of its divisors is an integer number (1813095900000).

Almost surely, 2^{222113213213312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222113213213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232076275200000).

222113213213312 is an abundant number, since it is smaller than the sum of its proper divisors (242039337186688).

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

222113213213312 is a wasteful number, since it uses less digits than its factorization.

222113213213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4527 (or 4515 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

Adding to 222113213213312 its reverse (213312312311222), we get a palindrome (435425525524534).

The spelling of 222113213213312 in words is "two hundred twenty-two trillion, one hundred thirteen billion, two hundred thirteen million, two hundred thirteen thousand, three hundred twelve".