12210431200 has 144 divisors (see below), whose sum is σ = 32640160896. Its totient is φ = 4423564800.

The previous prime is 12210431197. The next prime is 12210431227. The reversal of 12210431200 is 213401221.

12210431200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2487949 + ... + 2492851.

It is an arithmetic number, because the mean of its divisors is an integer number (226667784).

Almost surely, 2^12210431200 is an apocalyptic number.

12210431200 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 12210431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16320080448).

12210431200 is an abundant number, since it is smaller than the sum of its proper divisors (20429729696).

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

12210431200 is a wasteful number, since it uses less digits than its factorization.

12210431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5217 (or 5204 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12210431200 its reverse (213401221), we get a palindrome (12423832421).

The spelling of 12210431200 in words is "twelve billion, two hundred ten million, four hundred thirty-one thousand, two hundred".