12310403200 has 192 divisors, whose sum is σ = 31465251720. Its totient is φ = 4755456000.

The previous prime is 12310403197. The next prime is 12310403207. The reversal of 12310403200 is 230401321.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 7621988416 + 4688414784 = 87304^2 + 68472^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12310403207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20482900 + ... + 20483500.

Almost surely, 2^12310403200 is an apocalyptic number.

12310403200 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 12310403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15732625860).

12310403200 is an abundant number, since it is smaller than the sum of its proper divisors (19154848520).

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

12310403200 is a wasteful number, since it uses less digits than its factorization.

12310403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12310403200 its reverse (230401321), we get a palindrome (12540804521).

The spelling of 12310403200 in words is "twelve billion, three hundred ten million, four hundred three thousand, two hundred".