1312032883896 has 576 divisors, whose sum is σ = 4379132160000. Its totient is φ = 353336256000.

The previous prime is 1312032883891. The next prime is 1312032883913. The reversal of 1312032883896 is 6983882302131.

1312032883896 is a `hidden beast` number, since 1 + 31 + 203 + 28 + 8 + 389 + 6 = 666.

It is a super-2 number, since 2×1312032883896² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312032883891) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 875271355 + ... + 875272853.

It is an arithmetic number, because the mean of its divisors is an integer number (7602660000).

Almost surely, 2^{1312032883896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312032883896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189566080000).

1312032883896 is an abundant number, since it is smaller than the sum of its proper divisors (3067099276104).

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

1312032883896 is a wasteful number, since it uses less digits than its factorization.

1312032883896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 1312032883896 in words is "one trillion, three hundred twelve billion, thirty-two million, eight hundred eighty-three thousand, eight hundred ninety-six".