1312068732000 has 384 divisors, whose sum is σ = 4727493808128. Its totient is φ = 316097280000.

The previous prime is 1312068731971. The next prime is 1312068732019. The reversal of 1312068732000 is 2378602131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7242525 + ... + 7421475.

It is an arithmetic number, because the mean of its divisors is an integer number (12311181792).

Almost surely, 2^{1312068732000} is an apocalyptic number.

1312068732000 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 1312068732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363746904064).

1312068732000 is an abundant number, since it is smaller than the sum of its proper divisors (3415425076128).

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

1312068732000 is a wasteful number, since it uses less digits than its factorization.

1312068732000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179039 (or 179021 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 1312068732000 in words is "one trillion, three hundred twelve billion, sixty-eight million, seven hundred thirty-two thousand".