221210221120 has 112 divisors (see below), whose sum is σ = 604351831680. Its totient is φ = 75548196864.

The previous prime is 221210221091. The next prime is 221210221129. The reversal of 221210221120 is 21122012122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 221210221094 and 221210221103.

It is not an unprimeable number, because it can be changed into a prime (221210221129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383551 + ... + 767809.

Almost surely, 2^221210221120 is an apocalyptic number.

221210221120 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 221210221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302175915840).

221210221120 is an abundant number, since it is smaller than the sum of its proper divisors (383141610560).

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

221210221120 is a wasteful number, since it uses less digits than its factorization.

221210221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384540 (or 384530 counting only the distinct ones).

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

Adding to 221210221120 its reverse (21122012122), we get a palindrome (242332233242).

The spelling of 221210221120 in words is "two hundred twenty-one billion, two hundred ten million, two hundred twenty-one thousand, one hundred twenty".