1288320000000 has 896 divisors, whose sum is σ = 4761297186048. Its totient is φ = 307200000000.

The previous prime is 1288319999957. The next prime is 1288320000017. The reversal of 1288320000000 is 238821.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21119999970 + ... + 21120000030.

Almost surely, 2^{1288320000000} is an apocalyptic number.

1288320000000 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 1288320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380648593024).

1288320000000 is an abundant number, since it is smaller than the sum of its proper divisors (3472977186048).

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

1288320000000 is an frugal number, since it uses more digits than its factorization.

1288320000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1288320000000 its reverse (238821), we get a palindrome (1288320238821).

The spelling of 1288320000000 in words is "one trillion, two hundred eighty-eight billion, three hundred twenty million", and thus it is an aban number.