12287001600 has 396 divisors, whose sum is σ = 46595967444. Its totient is φ = 3082813440.

The previous prime is 12287001599. The next prime is 12287001611. The reversal of 12287001600 is 610078221.

It can be written as a sum of positive squares in 6 ways, for example, as 1696121856 + 10590879744 = 41184^2 + 102912^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3915232 + ... + 3918368.

Almost surely, 2^12287001600 is an apocalyptic number.

12287001600 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 12287001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23297983722).

12287001600 is an abundant number, since it is smaller than the sum of its proper divisors (34308965844).

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

12287001600 is a wasteful number, since it uses less digits than its factorization.

12287001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190 (or 3164 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 12287001600 its reverse (610078221), we get a palindrome (12897079821).

The spelling of 12287001600 in words is "twelve billion, two hundred eighty-seven million, one thousand, six hundred".