233323002120 has 192 divisors, whose sum is σ = 759319704000. Its totient is φ = 57329925120.

The previous prime is 233323002091. The next prime is 233323002149. The reversal of 233323002120 is 21200323332.

It is an interprime number because it is at equal distance from previous prime (233323002091) and next prime (233323002149).

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, 11569806 + ... + 11589954.

It is an arithmetic number, because the mean of its divisors is an integer number (3954790125).

Almost surely, 2^233323002120 is an apocalyptic number.

233323002120 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 233323002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379659852000).

233323002120 is an abundant number, since it is smaller than the sum of its proper divisors (525996701880).

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

233323002120 is a wasteful number, since it uses less digits than its factorization.

233323002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20760 (or 20743 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 233323002120 its reverse (21200323332), we get a palindrome (254523325452).

The spelling of 233323002120 in words is "two hundred thirty-three billion, three hundred twenty-three million, two thousand, one hundred twenty".