1287491072000 has 1248 divisors, whose sum is σ = 4096205081280. Its totient is φ = 401316249600.

The previous prime is 1287491071931. The next prime is 1287491072003. The reversal of 1287491072000 is 2701947821.

It is not an unprimeable number, because it can be changed into a prime (1287491072003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17636863964 + ... + 17636864036.

It is an arithmetic number, because the mean of its divisors is an integer number (3282215610).

Almost surely, 2^{1287491072000} is an apocalyptic number.

1287491072000 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 1287491072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048102540640).

1287491072000 is an abundant number, since it is smaller than the sum of its proper divisors (2808714009280).

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

1287491072000 is an equidigital number, since it uses as much as digits as its factorization.

1287491072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 41.

The spelling of 1287491072000 in words is "one trillion, two hundred eighty-seven billion, four hundred ninety-one million, seventy-two thousand".