1291318560000 has 810 divisors, whose sum is σ = 5412385140162. Its totient is φ = 295142400000.

The previous prime is 1291318559983. The next prime is 1291318560001. The reversal of 1291318560000 is 658131921.

1291318560000 is a `hidden beast` number, since 1 + 2 + 91 + 3 + 1 + 8 + 560 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 927970009344 + 363348550656 = 963312^2 + 602784^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1291318560001) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 70550850 + ... + 70569150.

Almost surely, 2^{1291318560000} is an apocalyptic number.

1291318560000 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 1291318560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2706192570081).

1291318560000 is an abundant number, since it is smaller than the sum of its proper divisors (4121066580162).

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

1291318560000 is an equidigital number, since it uses as much as digits as its factorization.

1291318560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18357 (or 18318 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 1291318560000 in words is "one trillion, two hundred ninety-one billion, three hundred eighteen million, five hundred sixty thousand".