221213120 has 56 divisors (see below), whose sum is σ = 528066000. Its totient is φ = 88266752.

The previous prime is 221213099. The next prime is 221213123. The reversal of 221213120 is 21312122.

It is a happy number.

221213120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221213095 and 221213104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221213123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210356 + ... + 211404.

It is an arithmetic number, because the mean of its divisors is an integer number (9429750).

Almost surely, 2^221213120 is an apocalyptic number.

221213120 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 221213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264033000).

221213120 is an abundant number, since it is smaller than the sum of its proper divisors (306852880).

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

221213120 is a wasteful number, since it uses less digits than its factorization.

221213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 221213120 is about 14873.2350213395. The cubic root of 221213120 is about 604.7886427885.

Adding to 221213120 its reverse (21312122), we get a palindrome (242525242).

The spelling of 221213120 in words is "two hundred twenty-one million, two hundred thirteen thousand, one hundred twenty".