221210212120 has 128 divisors (see below), whose sum is σ = 515727259200. Its totient is φ = 85356288000.

The previous prime is 221210212049. The next prime is 221210212127. The reversal of 221210212120 is 21212012122.

It is a happy number.

221210212120 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 = 221210212094 and 221210212103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221210212127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26364886 + ... + 26373274.

Almost surely, 2^221210212120 is an apocalyptic number.

221210212120 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 221210212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257863629600).

221210212120 is an abundant number, since it is smaller than the sum of its proper divisors (294517047080).

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

221210212120 is a wasteful number, since it uses less digits than its factorization.

221210212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8669 (or 8665 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221210212120 its reverse (21212012122), we get a palindrome (242422224242).

It can be divided in two parts, 2212102 and 12120, that added together give a palindrome (2224222).

The spelling of 221210212120 in words is "two hundred twenty-one billion, two hundred ten million, two hundred twelve thousand, one hundred twenty".