1312406135560 has 128 divisors (see below), whose sum is σ = 3256309647360. Its totient is φ = 472977792000.

The previous prime is 1312406135531. The next prime is 1312406135569. The reversal of 1312406135560 is 655316042131.

It is not an unprimeable number, because it can be changed into a prime (1312406135569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32871610 + ... + 32911510.

It is an arithmetic number, because the mean of its divisors is an integer number (25439919120).

Almost surely, 2^{1312406135560} is an apocalyptic number.

1312406135560 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 1312406135560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628154823680).

1312406135560 is an abundant number, since it is smaller than the sum of its proper divisors (1943903511800).

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

1312406135560 is a wasteful number, since it uses less digits than its factorization.

1312406135560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41439 (or 41435 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 1312406135560 in words is "one trillion, three hundred twelve billion, four hundred six million, one hundred thirty-five thousand, five hundred sixty".