1293168240000 has 3840 divisors, whose sum is σ = 6430367623680. Its totient is φ = 250822656000.

The previous prime is 1293168239897. The next prime is 1293168240011. The reversal of 1293168240000 is 428613921.

1293168240000 is a `hidden beast` number, since 1 + 2 + 93 + 168 + 2 + 400 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 30073679979 + ... + 30073680021.

It is an arithmetic number, because the mean of its divisors is an integer number (1674574902).

Almost surely, 2^{1293168240000} is an apocalyptic number.

1293168240000 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 1293168240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215183811840).

1293168240000 is an abundant number, since it is smaller than the sum of its proper divisors (5137199383680).

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

1293168240000 is an equidigital number, since it uses as much as digits as its factorization.

1293168240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1293168240000 in words is "one trillion, two hundred ninety-three billion, one hundred sixty-eight million, two hundred forty thousand".