233122120 has 64 divisors (see below), whose sum is σ = 653961600. Its totient is φ = 72660480.

The previous prime is 233122093. The next prime is 233122121. The reversal of 233122120 is 21221332.

It is a junction number, because it is equal to n+sod(n) for n = 233122094 and 233122103.

It is not an unprimeable number, because it can be changed into a prime (233122121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34765 + ... + 40924.

It is an arithmetic number, because the mean of its divisors is an integer number (10218150).

Almost surely, 2^233122120 is an apocalyptic number.

233122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233122120 is an abundant number, since it is smaller than the sum of its proper divisors (420839480).

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

233122120 is a wasteful number, since it uses less digits than its factorization.

233122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75718 (or 75714 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 233122120 is about 15268.3371720695. The cubic root of 233122120 is about 615.4524354902.

Adding to 233122120 its reverse (21221332), we get a palindrome (254343452).

The spelling of 233122120 in words is "two hundred thirty-three million, one hundred twenty-two thousand, one hundred twenty".