12225342720 has 288 divisors, whose sum is σ = 41059872000. Its totient is φ = 3094085632.

The previous prime is 12225342671. The next prime is 12225342757. The reversal of 12225342720 is 2724352221.

12225342720 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 (30).

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 31 ways as a sum of consecutive naturals, for example, 13159216 + ... + 13160144.

It is an arithmetic number, because the mean of its divisors is an integer number (142569000).

Almost surely, 2^12225342720 is an apocalyptic number.

12225342720 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 12225342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20529936000).

12225342720 is an abundant number, since it is smaller than the sum of its proper divisors (28834529280).

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

12225342720 is a wasteful number, since it uses less digits than its factorization.

12225342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

Adding to 12225342720 its reverse (2724352221), we get a palindrome (14949694941).

The spelling of 12225342720 in words is "twelve billion, two hundred twenty-five million, three hundred forty-two thousand, seven hundred twenty".