221122343430912 has 1152 divisors, whose sum is σ = 774477604454400. Its totient is φ = 54330874675200.

The previous prime is 221122343430899. The next prime is 221122343430913. The reversal of 221122343430912 is 219034343221122.

It is not an unprimeable number, because it can be changed into a prime (221122343430913) 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, 125709119889 + ... + 125709121647.

It is an arithmetic number, because the mean of its divisors is an integer number (672289587200).

Almost surely, 2^{221122343430912} is an apocalyptic number.

221122343430912 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 221122343430912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387238802227200).

221122343430912 is an abundant number, since it is smaller than the sum of its proper divisors (553355261023488).

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

221122343430912 is a wasteful number, since it uses less digits than its factorization.

221122343430912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 221122343430912 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, three hundred forty-three million, four hundred thirty thousand, nine hundred twelve".