221121120330 has 192 divisors, whose sum is σ = 646207061760. Its totient is φ = 52001664000.

The previous prime is 221121120313. The next prime is 221121120347. The reversal of 221121120330 is 33021121122.

221121120330 is a `hidden beast` number, since 2 + 211 + 2 + 1 + 120 + 330 = 666.

221121120330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221121120313) and next prime (221121120347).

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4646155 + ... + 4693505.

It is an arithmetic number, because the mean of its divisors is an integer number (3365661780).

Almost surely, 2^221121120330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221121120330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323103530880).

221121120330 is an abundant number, since it is smaller than the sum of its proper divisors (425085941430).

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

221121120330 is a wasteful number, since it uses less digits than its factorization.

221121120330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47517 (or 47514 counting only the distinct ones).

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

Adding to 221121120330 its reverse (33021121122), we get a palindrome (254142241452).

The spelling of 221121120330 in words is "two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty thousand, three hundred thirty".