12345559200 has 432 divisors, whose sum is σ = 48040659576. Its totient is φ = 2963865600.

The previous prime is 12345559183. The next prime is 12345559223. The reversal of 12345559200 is 295554321.

It is a happy number.

12345559200 is a `hidden beast` number, since 1 + 23 + 45 + 5 + 592 + 0 + 0 = 666.

12345559200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 571536 + 12344987664 = 756^2 + 111108^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 3835992 + ... + 3839208.

Almost surely, 2^12345559200 is an apocalyptic number.

12345559200 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 12345559200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24020329788).

12345559200 is an abundant number, since it is smaller than the sum of its proper divisors (35695100376).

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

12345559200 is a wasteful number, since it uses less digits than its factorization.

12345559200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3297 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 12345559200 in words is "twelve billion, three hundred forty-five million, five hundred fifty-nine thousand, two hundred".