1293212496960 has 336 divisors, whose sum is σ = 4594012899840. Its totient is φ = 333556899840.

The previous prime is 1293212496943. The next prime is 1293212496971. The reversal of 1293212496960 is 696942123921.

1293212496960 is a `hidden beast` number, since 1 + 2 + 93 + 2 + 1 + 2 + 496 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1293212496897 and 1293212496906.

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 47 ways as a sum of consecutive naturals, for example, 337387204 + ... + 337391036.

It is an arithmetic number, because the mean of its divisors is an integer number (13672657440).

Almost surely, 2^{1293212496960} is an apocalyptic number.

1293212496960 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 1293212496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297006449920).

1293212496960 is an abundant number, since it is smaller than the sum of its proper divisors (3300800402880).

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

1293212496960 is a wasteful number, since it uses less digits than its factorization.

1293212496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7666 (or 7653 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 1293212496960 in words is "one trillion, two hundred ninety-three billion, two hundred twelve million, four hundred ninety-six thousand, nine hundred sixty".