12005243200 has 84 divisors (see below), whose sum is σ = 29586948700. Its totient is φ = 4794531840.

The previous prime is 12005243191. The next prime is 12005243207. The reversal of 12005243200 is 234250021.

It can be written as a sum of positive squares in 6 ways, for example, as 1265651776 + 10739591424 = 35576^2 + 103632^2 .

It is a super-2 number, since 2×12005243200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12005243207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1071226 + ... + 1082374.

Almost surely, 2^12005243200 is an apocalyptic number.

12005243200 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 12005243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14793474350).

12005243200 is an abundant number, since it is smaller than the sum of its proper divisors (17581705500).

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

12005243200 is a wasteful number, since it uses less digits than its factorization.

12005243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11844 (or 11829 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 12005243200 its reverse (234250021), we get a palindrome (12239493221).

The spelling of 12005243200 in words is "twelve billion, five million, two hundred forty-three thousand, two hundred".