221003032132000 has 288 divisors, whose sum is σ = 569101160431440. Its totient is φ = 84339995801600.

The previous prime is 221003032131989. The next prime is 221003032132031. The reversal of 221003032132000 is 231230300122.

It can be written as a sum of positive squares in 8 ways, for example, as 34862742363024 + 186140289768976 = 5904468^2 + 13643324^2 .

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 47 ways as a sum of consecutive naturals, for example, 822989754 + ... + 823258246.

Almost surely, 2^{221003032132000} is an apocalyptic number.

221003032132000 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 221003032132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284550580215720).

221003032132000 is an abundant number, since it is smaller than the sum of its proper divisors (348098128299440).

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

221003032132000 is a wasteful number, since it uses less digits than its factorization.

221003032132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268953 (or 268912 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 221003032132000 its reverse (231230300122), we get a palindrome (221234262432122).

The spelling of 221003032132000 in words is "two hundred twenty-one trillion, three billion, thirty-two million, one hundred thirty-two thousand".