12200007456 has 504 divisors, whose sum is σ = 45168474204. Its totient is φ = 3213665280.

The previous prime is 12200007431. The next prime is 12200007509. The reversal of 12200007456 is 65470000221.

12200007456 is a `hidden beast` number, since 1 + 2 + 200 + 0 + 0 + 7 + 456 = 666.

12200007456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11042647056 + 1157360400 = 105084^2 + 34020^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 83 ways as a sum of consecutive naturals, for example, 14859526 + ... + 14860346.

Almost surely, 2^12200007456 is an apocalyptic number.

12200007456 is a gapful number since it is divisible by the number (16) 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 12200007456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22584237102).

12200007456 is an abundant number, since it is smaller than the sum of its proper divisors (32968466748).

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

12200007456 is an equidigital number, since it uses as much as digits as its factorization.

12200007456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 12200007456 its reverse (65470000221), we get a palindrome (77670007677).

The spelling of 12200007456 in words is "twelve billion, two hundred million, seven thousand, four hundred fifty-six".