12247200000 has 864 divisors, whose sum is σ = 52374147840. Its totient is φ = 2799360000.

The previous prime is 12247199971. The next prime is 12247200023. The reversal of 12247200000 is 274221.

12247200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 1749599997 + ... + 1749600003.

Almost surely, 2^12247200000 is an apocalyptic number.

12247200000 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 12247200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26187073920).

12247200000 is an abundant number, since it is smaller than the sum of its proper divisors (40126947840).

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

12247200000 is an frugal number, since it uses more digits than its factorization.

12247200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

Adding to 12247200000 its reverse (274221), we get a palindrome (12247474221).

The spelling of 12247200000 in words is "twelve billion, two hundred forty-seven million, two hundred thousand".