1293552000000 has 924 divisors, whose sum is σ = 5035235704408. Its totient is φ = 317952000000.

The previous prime is 1293551999981. The next prime is 1293552000029. The reversal of 1293552000000 is 2553921.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1871999655 + ... + 1872000345.

Almost surely, 2^{1293552000000} is an apocalyptic number.

1293552000000 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 1293552000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517617852204).

1293552000000 is an abundant number, since it is smaller than the sum of its proper divisors (3741683704408).

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

1293552000000 is an frugal number, since it uses more digits than its factorization.

1293552000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 1293552000000 its reverse (2553921), we get a palindrome (1293554553921).

The spelling of 1293552000000 in words is "one trillion, two hundred ninety-three billion, five hundred fifty-two million", and thus it is an aban number.