221322031320000 has 560 divisors, whose sum is σ = 794235817582592. Its totient is φ = 54050250240000.

The previous prime is 221322031319947. The next prime is 221322031320011. The reversal of 221322031320000 is 23130223122.

It is a happy number.

It is a super-2 number, since 2×221322031320000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 197561445 + ... + 198678555.

Almost surely, 2^{221322031320000} is an apocalyptic number.

221322031320000 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 221322031320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397117908791296).

221322031320000 is an abundant number, since it is smaller than the sum of its proper divisors (572913786262592).

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

221322031320000 is a wasteful number, since it uses less digits than its factorization.

221322031320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117286 (or 1117261 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 221322031320000 its reverse (23130223122), we get a palindrome (221345161543122).

The spelling of 221322031320000 in words is "two hundred twenty-one trillion, three hundred twenty-two billion, thirty-one million, three hundred twenty thousand".