13233212312112 has 240 divisors, whose sum is σ = 40210247837760. Its totient is φ = 4038528264192.

The previous prime is 13233212312087. The next prime is 13233212312191. The reversal of 13233212312112 is 21121321233231.

13233212312112 is a `hidden beast` number, since 1 + 3 + 2 + 332 + 1 + 2 + 312 + 1 + 12 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112686258 + ... + 112803630.

It is an arithmetic number, because the mean of its divisors is an integer number (167542699324).

Almost surely, 2^{13233212312112} is an apocalyptic number.

13233212312112 is a gapful number since it is divisible by the number (12) 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 13233212312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20105123918880).

13233212312112 is an abundant number, since it is smaller than the sum of its proper divisors (26977035525648).

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

13233212312112 is a wasteful number, since it uses less digits than its factorization.

13233212312112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117892 (or 117883 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 13233212312112 its reverse (21121321233231), we get a palindrome (34354533545343).

The spelling of 13233212312112 in words is "thirteen trillion, two hundred thirty-three billion, two hundred twelve million, three hundred twelve thousand, one hundred twelve".