12113331200 has 132 divisors (see below), whose sum is σ = 30522563172. Its totient is φ = 4765286400.

The previous prime is 12113331149. The next prime is 12113331203. The reversal of 12113331200 is 213331121.

It can be written as a sum of positive squares in 6 ways, for example, as 853574656 + 11259756544 = 29216^2 + 106112^2 .

It is not an unprimeable number, because it can be changed into a prime (12113331203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1557722 + ... + 1565478.

Almost surely, 2^12113331200 is an apocalyptic number.

12113331200 is a gapful number since it is divisible by the number (10) 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 12113331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15261281586).

12113331200 is an abundant number, since it is smaller than the sum of its proper divisors (18409231972).

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

12113331200 is an equidigital number, since it uses as much as digits as its factorization.

12113331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7848 (or 7825 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12113331200 its reverse (213331121), we get a palindrome (12326662321).

The spelling of 12113331200 in words is "twelve billion, one hundred thirteen million, three hundred thirty-one thousand, two hundred".