233022120320 has 128 divisors (see below), whose sum is σ = 616037266080. Its totient is φ = 83574374400.

The previous prime is 233022120281. The next prime is 233022120323. The reversal of 233022120320 is 23021220332.

233022120320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 233022120292 and 233022120301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233022120323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287210 + ... + 740630.

Almost surely, 2^233022120320 is an apocalyptic number.

233022120320 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 233022120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308018633040).

233022120320 is an abundant number, since it is smaller than the sum of its proper divisors (383015145760).

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

233022120320 is a wasteful number, since it uses less digits than its factorization.

233022120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453524 (or 453512 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 233022120320 its reverse (23021220332), we get a palindrome (256043340652).

The spelling of 233022120320 in words is "two hundred thirty-three billion, twenty-two million, one hundred twenty thousand, three hundred twenty".