1293034056000 has 1792 divisors, whose sum is σ = 5010198036480. Its totient is φ = 291962880000.

The previous prime is 1293034055947. The next prime is 1293034056029. The reversal of 1293034056000 is 6504303921.

It is a super-2 number, since 2×1293034056000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13330247952 + ... + 13330248048.

It is an arithmetic number, because the mean of its divisors is an integer number (2795869440).

Almost surely, 2^{1293034056000} is an apocalyptic number.

1293034056000 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 1293034056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505099018240).

1293034056000 is an abundant number, since it is smaller than the sum of its proper divisors (3717163980480).

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

1293034056000 is a wasteful number, since it uses less digits than its factorization.

1293034056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

Adding to 1293034056000 its reverse (6504303921), we get a palindrome (1299538359921).

The spelling of 1293034056000 in words is "one trillion, two hundred ninety-three billion, thirty-four million, fifty-six thousand".