12242995200 has 324 divisors, whose sum is σ = 44117068905. Its totient is φ = 3244769280.

The previous prime is 12242995189. The next prime is 12242995207. The reversal of 12242995200 is 259924221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12242995200 is a `hidden beast` number, since 1 + 2 + 2 + 42 + 99 + 520 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11998135296 + 244859904 = 109536^2 + 15648^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=78240.

It is a super-4 number, since 4×12242995200⁴ (a number of 41 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12242995207) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 75110319 + ... + 75110481.

Almost surely, 2^12242995200 is an apocalyptic number.

12242995200 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 12242995200

12242995200 is an abundant number, since it is smaller than the sum of its proper divisors (31874073705).

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

12242995200 is an equidigital number, since it uses as much as digits as its factorization.

12242995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12242995200 in words is "twelve billion, two hundred forty-two million, nine hundred ninety-five thousand, two hundred".