233223110120 has 768 divisors, whose sum is σ = 737845355520. Its totient is φ = 64523796480.

The previous prime is 233223110117. The next prime is 233223110179. The reversal of 233223110120 is 21011322332.

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 = 233223110092 and 233223110101.

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, 2264301989 + ... + 2264302091.

It is an arithmetic number, because the mean of its divisors is an integer number (960736140).

Almost surely, 2^233223110120 is an apocalyptic number.

233223110120 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 233223110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368922677760).

233223110120 is an abundant number, since it is smaller than the sum of its proper divisors (504622245400).

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

233223110120 is a wasteful number, since it uses less digits than its factorization.

233223110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 233223110120 its reverse (21011322332), we get a palindrome (254234432452).

It can be divided in two parts, 233223 and 110120, that added together give a palindrome (343343).

The spelling of 233223110120 in words is "two hundred thirty-three billion, two hundred twenty-three million, one hundred ten thousand, one hundred twenty".