221321130120 has 192 divisors, whose sum is σ = 730056862080. Its totient is φ = 58139947008.

The previous prime is 221321130097. The next prime is 221321130131. The reversal of 221321130120 is 21031123122.

221321130120 is a `hidden beast` number, since 2 + 21 + 321 + 1 + 301 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221321130093 and 221321130102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10537149 + ... + 10558131.

It is an arithmetic number, because the mean of its divisors is an integer number (3802379490).

Almost surely, 2^221321130120 is an apocalyptic number.

221321130120 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 221321130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365028431040).

221321130120 is an abundant number, since it is smaller than the sum of its proper divisors (508735731960).

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

221321130120 is a wasteful number, since it uses less digits than its factorization.

221321130120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21436 (or 21429 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221321130120 its reverse (21031123122), we get a palindrome (242352253242).

The spelling of 221321130120 in words is "two hundred twenty-one billion, three hundred twenty-one million, one hundred thirty thousand, one hundred twenty".