12312233424200 has 192 divisors, whose sum is σ = 29890684530000. Its totient is φ = 4712398848000.

The previous prime is 12312233424149. The next prime is 12312233424233. The reversal of 12312233424200 is 242433221321.

It can be written as a sum of positive squares in 24 ways, for example, as 3667845486244 + 8644387937956 = 1915162^2 + 2940134^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174534536 + ... + 174605064.

Almost surely, 2^{12312233424200} is an apocalyptic number.

12312233424200 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 12312233424200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14945342265000).

12312233424200 is an abundant number, since it is smaller than the sum of its proper divisors (17578451105800).

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

12312233424200 is a wasteful number, since it uses less digits than its factorization.

12312233424200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70996 (or 70987 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 12312233424200 its reverse (242433221321), we get a palindrome (12554666645521).

The spelling of 12312233424200 in words is "twelve trillion, three hundred twelve billion, two hundred thirty-three million, four hundred twenty-four thousand, two hundred".