233231112312 has 256 divisors, whose sum is σ = 691066321920. Its totient is φ = 64870502400.

The previous prime is 233231112311. The next prime is 233231112337. The reversal of 233231112312 is 213211132332.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233231112311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16393362 + ... + 16407582.

It is an arithmetic number, because the mean of its divisors is an integer number (2699477820).

Almost surely, 2^233231112312 is an apocalyptic number.

233231112312 is a gapful number since it is divisible by the number (22) 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 233231112312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345533160960).

233231112312 is an abundant number, since it is smaller than the sum of its proper divisors (457835209608).

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

233231112312 is a wasteful number, since it uses less digits than its factorization.

233231112312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14374 (or 14370 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 233231112312 its reverse (213211132332), we get a palindrome (446442244644).

It can be divided in two parts, 233231 and 112312, that added together give a palindrome (345543).

The spelling of 233231112312 in words is "two hundred thirty-three billion, two hundred thirty-one million, one hundred twelve thousand, three hundred twelve".