12093892200 has 432 divisors, whose sum is σ = 45770781420. Its totient is φ = 2844610560.

The previous prime is 12093892121. The next prime is 12093892219. The reversal of 12093892200 is 229839021.

It can be written as a sum of positive squares in 6 ways, for example, as 5169322404 + 6924569796 = 71898^2 + 83214^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 12378112 + ... + 12379088.

Almost surely, 2^12093892200 is an apocalyptic number.

12093892200 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 12093892200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22885390710).

12093892200 is an abundant number, since it is smaller than the sum of its proper divisors (33676889220).

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

12093892200 is a wasteful number, since it uses less digits than its factorization.

12093892200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 12093892200 in words is "twelve billion, ninety-three million, eight hundred ninety-two thousand, two hundred".