221233213120 has 112 divisors (see below), whose sum is σ = 529707091968. Its totient is φ = 88008145920.

The previous prime is 221233213109. The next prime is 221233213129. The reversal of 221233213120 is 21312332122.

It is a junction number, because it is equal to n+sod(n) for n = 221233213091 and 221233213100.

It is not an unprimeable number, because it can be changed into a prime (221233213129) 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 15 ways as a sum of consecutive naturals, for example, 56105869 + ... + 56109811.

Almost surely, 2^221233213120 is an apocalyptic number.

221233213120 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 221233213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264853545984).

221233213120 is an abundant number, since it is smaller than the sum of its proper divisors (308473878848).

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

221233213120 is a wasteful number, since it uses less digits than its factorization.

221233213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4878 (or 4868 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 221233213120 its reverse (21312332122), we get a palindrome (242545545242).

The spelling of 221233213120 in words is "two hundred twenty-one billion, two hundred thirty-three million, two hundred thirteen thousand, one hundred twenty".