232112101211232 has 576 divisors, whose sum is σ = 714918963628800. Its totient is φ = 65762236108800.

The previous prime is 232112101211201. The next prime is 232112101211233.

232112101211232 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232112101211233) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2629853119 + ... + 2629941377.

It is an arithmetic number, because the mean of its divisors is an integer number (1241178756300).

Almost surely, 2^{232112101211232} is an apocalyptic number.

232112101211232 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 232112101211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357459481814400).

232112101211232 is an abundant number, since it is smaller than the sum of its proper divisors (482806862417568).

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

232112101211232 is a wasteful number, since it uses less digits than its factorization.

232112101211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88571 (or 88552 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 23211210 and 1211232, that added together give a palindrome (24422442).

The spelling of 232112101211232 in words is "two hundred thirty-two trillion, one hundred twelve billion, one hundred one million, two hundred eleven thousand, two hundred thirty-two".