1312696000 has 224 divisors, whose sum is σ = 4054961664. Its totient is φ = 408960000.

The previous prime is 1312695971. The next prime is 1312696031. The reversal of 1312696000 is 6962131.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1312696000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 614935 + ... + 617065.

Almost surely, 2^1312696000 is an apocalyptic number.

1312696000 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 1312696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027480832).

1312696000 is an abundant number, since it is smaller than the sum of its proper divisors (2742265664).

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

1312696000 is a wasteful number, since it uses less digits than its factorization.

1312696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 1312696000 is about 36231.1468214850. The cubic root of 1312696000 is about 1094.9342829419.

The spelling of 1312696000 in words is "one billion, three hundred twelve million, six hundred ninety-six thousand".