120233233011232 has 192 divisors, whose sum is σ = 277642983260160. Its totient is φ = 50666096332800.

The previous prime is 120233233011223. The next prime is 120233233011263. The reversal of 120233233011232 is 232110332332021.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 120233233011232.

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 31 ways as a sum of consecutive naturals, for example, 2520007857 + ... + 2520055567.

It is an arithmetic number, because the mean of its divisors is an integer number (1446057204480).

Almost surely, 2^{120233233011232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120233233011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138821491630080).

120233233011232 is an abundant number, since it is smaller than the sum of its proper divisors (157409750248928).

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

120233233011232 is a wasteful number, since it uses less digits than its factorization.

120233233011232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55815 (or 55807 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 120233233011232 its reverse (232110332332021), we get a palindrome (352343565343253).

The spelling of 120233233011232 in words is "one hundred twenty trillion, two hundred thirty-three billion, two hundred thirty-three million, eleven thousand, two hundred thirty-two".