1312896000 has 352 divisors, whose sum is σ = 4721004288. Its totient is φ = 321945600.

The previous prime is 1312895999. The next prime is 1312896001. The reversal of 1312896000 is 6982131.

It is an interprime number because it is at equal distance from previous prime (1312895999) and next prime (1312896001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312896001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4991869 + ... + 4992131.

It is an arithmetic number, because the mean of its divisors is an integer number (13411944).

Almost surely, 2^1312896000 is an apocalyptic number.

1312896000 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 1312896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360502144).

1312896000 is an abundant number, since it is smaller than the sum of its proper divisors (3408108288).

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

1312896000 is a wasteful number, since it uses less digits than its factorization.

1312896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1312896000 is about 36233.9067725245. The cubic root of 1312896000 is about 1094.9898875236.

The spelling of 1312896000 in words is "one billion, three hundred twelve million, eight hundred ninety-six thousand".