1281368000 has 112 divisors (see below), whose sum is σ = 3462028128. Its totient is φ = 465920000.

The previous prime is 1281367991. The next prime is 1281368009. The reversal of 1281368000 is 8631821.

It is an interprime number because it is at equal distance from previous prime (1281367991) and next prime (1281368009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1281368009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80720 + ... + 95280.

Almost surely, 2^1281368000 is an apocalyptic number.

1281368000 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 1281368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731014064).

1281368000 is an abundant number, since it is smaller than the sum of its proper divisors (2180660128).

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

1281368000 is a wasteful number, since it uses less digits than its factorization.

1281368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14599 (or 14579 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 1281368000 is about 35796.2009157396. The cubic root of 1281368000 is about 1086.1537134310.

Adding to 1281368000 its reverse (8631821), we get a palindrome (1289999821).

The spelling of 1281368000 in words is "one billion, two hundred eighty-one million, three hundred sixty-eight thousand".