232213120020 has 288 divisors, whose sum is σ = 815645376000. Its totient is φ = 52378140672.

The previous prime is 232213120003. The next prime is 232213120067. The reversal of 232213120020 is 20021312232.

232213120020 is a `hidden beast` number, since 232 + 213 + 1 + 200 + 20 = 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 = 232213119975 and 232213120002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67170132 + ... + 67173588.

It is an arithmetic number, because the mean of its divisors is an integer number (2832102000).

Almost surely, 2^232213120020 is an apocalyptic number.

232213120020 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 232213120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407822688000).

232213120020 is an abundant number, since it is smaller than the sum of its proper divisors (583432255980).

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

232213120020 is a wasteful number, since it uses less digits than its factorization.

232213120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4167 (or 4162 counting only the distinct ones).

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

Adding to 232213120020 its reverse (20021312232), we get a palindrome (252234432252).

The spelling of 232213120020 in words is "two hundred thirty-two billion, two hundred thirteen million, one hundred twenty thousand, twenty".