1281168000 has 768 divisors, whose sum is σ = 5560289280. Its totient is φ = 276480000.

The previous prime is 1281167983. The next prime is 1281168013. The reversal of 1281168000 is 8611821.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31247980 + ... + 31248020.

It is an arithmetic number, because the mean of its divisors is an integer number (7239960).

Almost surely, 2^1281168000 is an apocalyptic number.

1281168000 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 1281168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780144640).

1281168000 is an abundant number, since it is smaller than the sum of its proper divisors (4279121280).

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

1281168000 is a wasteful number, since it uses less digits than its factorization.

1281168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1281168000 is about 35793.4072141784. The cubic root of 1281168000 is about 1086.0972003799.

Adding to 1281168000 its reverse (8611821), we get a palindrome (1289779821).

The spelling of 1281168000 in words is "one billion, two hundred eighty-one million, one hundred sixty-eight thousand".