1282336272000 has 2304 divisors, whose sum is σ = 5704856801280. Its totient is φ = 285310771200.

The previous prime is 1282336271977. The next prime is 1282336272029. The reversal of 1282336272000 is 2726332821.

1282336272000 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 3 + 3 + 627 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10097135937 + ... + 10097136063.

It is an arithmetic number, because the mean of its divisors is an integer number (2476066320).

Almost surely, 2^{1282336272000} is an apocalyptic number.

1282336272000 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 1282336272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852428400640).

1282336272000 is an abundant number, since it is smaller than the sum of its proper divisors (4422520529280).

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

1282336272000 is an equidigital number, since it uses as much as digits as its factorization.

1282336272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 1282336272000 in words is "one trillion, two hundred eighty-two billion, three hundred thirty-six million, two hundred seventy-two thousand".