232122100320 has 288 divisors, whose sum is σ = 877028705280. Its totient is φ = 55431889920.

The previous prime is 232122100307. The next prime is 232122100339. The reversal of 232122100320 is 23001221232.

232122100320 is a `hidden beast` number, since 2 + 321 + 2 + 21 + 0 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 232122100293 and 232122100302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 951921 + ... + 1170639.

It is an arithmetic number, because the mean of its divisors is an integer number (3045238560).

Almost surely, 2^232122100320 is an apocalyptic number.

232122100320 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 232122100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438514352640).

232122100320 is an abundant number, since it is smaller than the sum of its proper divisors (644906604960).

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

232122100320 is a wasteful number, since it uses less digits than its factorization.

232122100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218818 (or 218807 counting only the distinct ones).

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

Adding to 232122100320 its reverse (23001221232), we get a palindrome (255123321552).

The spelling of 232122100320 in words is "two hundred thirty-two billion, one hundred twenty-two million, one hundred thousand, three hundred twenty".