12210243200 has 192 divisors, whose sum is σ = 32075011800. Its totient is φ = 4577034240.

The previous prime is 12210243193. The next prime is 12210243211. The reversal of 12210243200 is 234201221.

It can be written as a sum of positive squares in 12 ways, for example, as 4013475904 + 8196767296 = 63352^2 + 90536^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21161312 + ... + 21161888.

Almost surely, 2^12210243200 is an apocalyptic number.

12210243200 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 12210243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16037505900).

12210243200 is an abundant number, since it is smaller than the sum of its proper divisors (19864768600).

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

12210243200 is a wasteful number, since it uses less digits than its factorization.

12210243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 12210243200 its reverse (234201221), we get a palindrome (12444444421).

The spelling of 12210243200 in words is "twelve billion, two hundred ten million, two hundred forty-three thousand, two hundred".