233340120 has 192 divisors, whose sum is σ = 829090080. Its totient is φ = 56567808.

The previous prime is 233340089. The next prime is 233340137. The reversal of 233340120 is 21043332.

It is a super-2 number, since 2×233340120² = 108895223203228800, which contains 22 as substring.

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 = 233340093 and 233340102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341299 + ... + 341981.

Almost surely, 2^233340120 is an apocalyptic number.

233340120 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 233340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414545040).

233340120 is an abundant number, since it is smaller than the sum of its proper divisors (595749960).

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

233340120 is a wasteful number, since it uses less digits than its factorization.

233340120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 233340120 is about 15275.4744607164. The cubic root of 233340120 is about 615.6442188508.

Adding to 233340120 its reverse (21043332), we get a palindrome (254383452).

The spelling of 233340120 in words is "two hundred thirty-three million, three hundred forty thousand, one hundred twenty".