12331312200 has 144 divisors (see below), whose sum is σ = 41823299700. Its totient is φ = 3255744000.

The previous prime is 12331312183. The next prime is 12331312211. The reversal of 12331312200 is 221313321.

12331312200 is a `hidden beast` number, since 1 + 2 + 331 + 312 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9226370916 + 3104941284 = 96054^2 + 55722^2 .

It is a super-2 number, since 2×12331312200² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 147886 + ... + 215714.

Almost surely, 2^12331312200 is an apocalyptic number.

12331312200 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 12331312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20911649850).

12331312200 is an abundant number, since it is smaller than the sum of its proper divisors (29491987500).

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

12331312200 is a wasteful number, since it uses less digits than its factorization.

12331312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67952 (or 67940 counting only the distinct ones).

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

Adding to 12331312200 its reverse (221313321), we get a palindrome (12552625521).

The spelling of 12331312200 in words is "twelve billion, three hundred thirty-one million, three hundred twelve thousand, two hundred".