221232301140000 has 480 divisors, whose sum is σ = 729612440282880. Its totient is φ = 58676881536000.

The previous prime is 221232301139917. The next prime is 221232301140007. The reversal of 221232301140000 is 41103232122.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (221232301140007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9288048091 + ... + 9288071909.

It is an arithmetic number, because the mean of its divisors is an integer number (1520025917256).

Almost surely, 2^{221232301140000} is an apocalyptic number.

221232301140000 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 221232301140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364806220141440).

221232301140000 is an abundant number, since it is smaller than the sum of its proper divisors (508380139142880).

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

221232301140000 is a wasteful number, since it uses less digits than its factorization.

221232301140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24682 (or 24659 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 221232301140000 its reverse (41103232122), we get a palindrome (221273404372122).

The spelling of 221232301140000 in words is "two hundred twenty-one trillion, two hundred thirty-two billion, three hundred one million, one hundred forty thousand".