233221032120120 has 512 divisors, whose sum is σ = 811466629908480. Its totient is φ = 52995627745280.

The previous prime is 233221032120113. The next prime is 233221032120187. The reversal of 233221032120120 is 21021230122332.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10565885404 + ... + 10565907476.

It is an arithmetic number, because the mean of its divisors is an integer number (1584895761540).

Almost surely, 2^{233221032120120} is an apocalyptic number.

233221032120120 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 233221032120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405733314954240).

233221032120120 is an abundant number, since it is smaller than the sum of its proper divisors (578245597788360).

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

233221032120120 is a wasteful number, since it uses less digits than its factorization.

233221032120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24015 (or 24011 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 233221032120120 its reverse (21021230122332), we get a palindrome (254242262242452).

The spelling of 233221032120120 in words is "two hundred thirty-three trillion, two hundred twenty-one billion, thirty-two million, one hundred twenty thousand, one hundred twenty".