12093235200 has 462 divisors, whose sum is σ = 44983835229. Its totient is φ = 3224862720.

The previous prime is 12093235163. The next prime is 12093235211. The reversal of 12093235200 is 253239021.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 11851370496 + 241864704 = 108864^2 + 15552^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=77760.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 2418647038 + ... + 2418647042.

Almost surely, 2^12093235200 is an apocalyptic number.

12093235200 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 12093235200

12093235200 is an abundant number, since it is smaller than the sum of its proper divisors (32890600029).

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

12093235200 is an frugal number, since it uses more digits than its factorization.

12093235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 12093235200 in words is "twelve billion, ninety-three million, two hundred thirty-five thousand, two hundred".