1312445012240 has 80 divisors (see below), whose sum is σ = 3156983408880. Its totient is φ = 506822830080.

The previous prime is 1312445012231. The next prime is 1312445012257. The reversal of 1312445012240 is 422105442131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 22276159504 + 1290168852736 = 149252^2 + 1135856^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 28273850 + ... + 28320230.

It is an arithmetic number, because the mean of its divisors is an integer number (39462292611).

Almost surely, 2^{1312445012240} is an apocalyptic number.

1312445012240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312445012240 is an abundant number, since it is smaller than the sum of its proper divisors (1844538396640).

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

1312445012240 is a wasteful number, since it uses less digits than its factorization.

1312445012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58620 (or 58614 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The spelling of 1312445012240 in words is "one trillion, three hundred twelve billion, four hundred forty-five million, twelve thousand, two hundred forty".