221333111002212 has 384 divisors, whose sum is σ = 611714131660800. Its totient is φ = 61534954291200.

The previous prime is 221333111002193. The next prime is 221333111002217. The reversal of 221333111002212 is 212200111333122.

It is not an unprimeable number, because it can be changed into a prime (221333111002217) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28974091089 + ... + 28974098727.

It is an arithmetic number, because the mean of its divisors is an integer number (1593005551200).

Almost surely, 2^{221333111002212} is an apocalyptic number.

221333111002212 is a gapful number since it is divisible by the number (22) 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 221333111002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305857065830400).

221333111002212 is an abundant number, since it is smaller than the sum of its proper divisors (390381020658588).

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

221333111002212 is a wasteful number, since it uses less digits than its factorization.

221333111002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9267 (or 9265 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 221333111002212 its reverse (212200111333122), we get a palindrome (433533222335334).

The spelling of 221333111002212 in words is "two hundred twenty-one trillion, three hundred thirty-three billion, one hundred eleven million, two thousand, two hundred twelve".