221232100320 has 1152 divisors, whose sum is σ = 1002799429632. Its totient is φ = 42998169600.

The previous prime is 221232100291. The next prime is 221232100351. The reversal of 221232100320 is 23001232122.

221232100320 is a `hidden beast` number, since 2 + 21 + 2 + 321 + 0 + 0 + 320 = 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 = 221232100293 and 221232100302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 454275117 + ... + 454275603.

It is an arithmetic number, because the mean of its divisors is an integer number (870485616).

Almost surely, 2^221232100320 is an apocalyptic number.

221232100320 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 221232100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501399714816).

221232100320 is an abundant number, since it is smaller than the sum of its proper divisors (781567329312).

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

221232100320 is a wasteful number, since it uses less digits than its factorization.

221232100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 221232100320 its reverse (23001232122), we get a palindrome (244233332442).

The spelling of 221232100320 in words is "two hundred twenty-one billion, two hundred thirty-two million, one hundred thousand, three hundred twenty".