221121021120 has 224 divisors, whose sum is σ = 771142049280. Its totient is φ = 53433262080.

The previous prime is 221121021083. The next prime is 221121021131. The reversal of 221121021120 is 21120121122.

221121021120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221121021120.

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 31 ways as a sum of consecutive naturals, for example, 155980 + ... + 683060.

Almost surely, 2^221121021120 is an apocalyptic number.

221121021120 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 221121021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385571024640).

221121021120 is an abundant number, since it is smaller than the sum of its proper divisors (550021028160).

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

221121021120 is a wasteful number, since it uses less digits than its factorization.

221121021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527143 (or 527133 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221121021120 its reverse (21120121122), we get a palindrome (242241142242).

The spelling of 221121021120 in words is "two hundred twenty-one billion, one hundred twenty-one million, twenty-one thousand, one hundred twenty".