233122001232120 has 768 divisors, whose sum is σ = 956004086822400. Its totient is φ = 44704081981440.

The previous prime is 233122001232103. The next prime is 233122001232151. The reversal of 233122001232120 is 21232100221332.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3798043591 + ... + 3798104969.

It is an arithmetic number, because the mean of its divisors is an integer number (1244796988050).

Almost surely, 2^{233122001232120} is an apocalyptic number.

233122001232120 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 233122001232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478002043411200).

233122001232120 is an abundant number, since it is smaller than the sum of its proper divisors (722882085590280).

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

233122001232120 is a wasteful number, since it uses less digits than its factorization.

233122001232120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65948 (or 65937 counting only the distinct ones).

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

Adding to 233122001232120 its reverse (21232100221332), we get a palindrome (254354101453452).

The spelling of 233122001232120 in words is "two hundred thirty-three trillion, one hundred twenty-two billion, one million, two hundred thirty-two thousand, one hundred twenty".