12193395200 has 180 divisors, whose sum is σ = 35144156322. Its totient is φ = 4180377600.

The previous prime is 12193395161. The next prime is 12193395209. The reversal of 12193395200 is 259339121.

It can be written as a sum of positive squares in 3 ways, for example, as 7418032384 + 4775362816 = 86128^2 + 69104^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (12193395209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 617480 + ... + 636920.

Almost surely, 2^12193395200 is an apocalyptic number.

12193395200 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 12193395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17572078161).

12193395200 is an abundant number, since it is smaller than the sum of its proper divisors (22950761122).

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

12193395200 is an equidigital number, since it uses as much as digits as its factorization.

12193395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19483 (or 19455 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 35.

The spelling of 12193395200 in words is "twelve billion, one hundred ninety-three million, three hundred ninety-five thousand, two hundred".