232221203253120 has 512 divisors, whose sum is σ = 757981652152320. Its totient is φ = 60445758062592.

The previous prime is 232221203253113. The next prime is 232221203253139. The reversal of 232221203253120 is 21352302122232.

It is a happy number.

It is a super-3 number, since 3×232221203253120³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108666916692 + ... + 108666918828.

It is an arithmetic number, because the mean of its divisors is an integer number (1480432914360).

Almost surely, 2^{232221203253120} is an apocalyptic number.

232221203253120 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 232221203253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378990826076160).

232221203253120 is an abundant number, since it is smaller than the sum of its proper divisors (525760448899200).

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

232221203253120 is a wasteful number, since it uses less digits than its factorization.

232221203253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4870 (or 4858 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 232221203253120 its reverse (21352302122232), we get a palindrome (253573505375352).

The spelling of 232221203253120 in words is "two hundred thirty-two trillion, two hundred twenty-one billion, two hundred three million, two hundred fifty-three thousand, one hundred twenty".