233323130220120 has 256 divisors, whose sum is σ = 780033955392000. Its totient is φ = 62036544480768.

The previous prime is 233323130219981. The next prime is 233323130220137. The reversal of 233323130220120 is 21022031323332.

233323130220120 is a `hidden beast` number, since 2 + 3 + 3 + 3 + 2 + 313 + 0 + 220 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 522083002 + ... + 522529718.

It is an arithmetic number, because the mean of its divisors is an integer number (3047007638250).

Almost surely, 2^{233323130220120} is an apocalyptic number.

233323130220120 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 233323130220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390016977696000).

233323130220120 is an abundant number, since it is smaller than the sum of its proper divisors (546710825171880).

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

233323130220120 is a wasteful number, since it uses less digits than its factorization.

233323130220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448159 (or 448149 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 233323130220120 its reverse (21022031323332), we get a palindrome (254345161543452).

The spelling of 233323130220120 in words is "two hundred thirty-three trillion, three hundred twenty-three billion, one hundred thirty million, two hundred twenty thousand, one hundred twenty".