221220132310320 has 320 divisors, whose sum is σ = 810498858753024. Its totient is φ = 49207374581760.

The previous prime is 221220132310291. The next prime is 221220132310321. The reversal of 221220132310320 is 23013231022122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (221220132310321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13567387 + ... + 25030266.

Almost surely, 2^{221220132310320} is an apocalyptic number.

221220132310320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221220132310320 is an abundant number, since it is smaller than the sum of its proper divisors (589278726442704).

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

221220132310320 is a wasteful number, since it uses less digits than its factorization.

221220132310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38597860 (or 38597854 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 221220132310320 its reverse (23013231022122), we get a palindrome (244233363332442).

The spelling of 221220132310320 in words is "two hundred twenty-one trillion, two hundred twenty billion, one hundred thirty-two million, three hundred ten thousand, three hundred twenty".