233100123012 has 144 divisors (see below), whose sum is σ = 605298133440. Its totient is φ = 75611577600.

The previous prime is 233100123001. The next prime is 233100123019. The reversal of 233100123012 is 210321001332.

233100123012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (233100123019) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 111904923 + ... + 111907005.

It is an arithmetic number, because the mean of its divisors is an integer number (4203459260).

Almost surely, 2^233100123012 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 233100123012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302649066720).

233100123012 is an abundant number, since it is smaller than the sum of its proper divisors (372198010428).

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

233100123012 is a wasteful number, since it uses less digits than its factorization.

233100123012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 233100123012 its reverse (210321001332), we get a palindrome (443421124344).

The spelling of 233100123012 in words is "two hundred thirty-three billion, one hundred million, one hundred twenty-three thousand, twelve".