221154313120 has 96 divisors (see below), whose sum is σ = 563324170752. Its totient is φ = 81561695232.

The previous prime is 221154313111. The next prime is 221154313139. The reversal of 221154313120 is 21313451122.

221154313120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 1733439 + ... + 1856641.

It is an arithmetic number, because the mean of its divisors is an integer number (5867960112).

Almost surely, 2^221154313120 is an apocalyptic number.

221154313120 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 221154313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281662085376).

221154313120 is an abundant number, since it is smaller than the sum of its proper divisors (342169857632).

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

221154313120 is a wasteful number, since it uses less digits than its factorization.

221154313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124094 (or 124086 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 221154313120 its reverse (21313451122), we get a palindrome (242467764242).

The spelling of 221154313120 in words is "two hundred twenty-one billion, one hundred fifty-four million, three hundred thirteen thousand, one hundred twenty".