221211122320 has 160 divisors (see below), whose sum is σ = 551032588800. Its totient is φ = 82297036800.

The previous prime is 221211122317. The next prime is 221211122323. The reversal of 221211122320 is 23221112122.

It is an interprime number because it is at equal distance from previous prime (221211122317) and next prime (221211122323).

It is not an unprimeable number, because it can be changed into a prime (221211122323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40863934 + ... + 40869346.

It is an arithmetic number, because the mean of its divisors is an integer number (3443953680).

Almost surely, 2^221211122320 is an apocalyptic number.

221211122320 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 221211122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275516294400).

221211122320 is an abundant number, since it is smaller than the sum of its proper divisors (329821466480).

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

221211122320 is a wasteful number, since it uses less digits than its factorization.

221211122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5793 (or 5787 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 221211122320 its reverse (23221112122), we get a palindrome (244432234442).

The spelling of 221211122320 in words is "two hundred twenty-one billion, two hundred eleven million, one hundred twenty-two thousand, three hundred twenty".