1312400488608 has 288 divisors, whose sum is σ = 4259613863232. Its totient is φ = 394174771200.

The previous prime is 1312400488583. The next prime is 1312400488657. The reversal of 1312400488608 is 8068840042131.

1312400488608 is a `hidden beast` number, since 1 + 31 + 2 + 4 + 0 + 0 + 4 + 8 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9597678 + ... + 9733458.

It is an arithmetic number, because the mean of its divisors is an integer number (14790325914).

Almost surely, 2^{1312400488608} is an apocalyptic number.

1312400488608 is a gapful number since it is divisible by the number (18) 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 1312400488608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129806931616).

1312400488608 is an abundant number, since it is smaller than the sum of its proper divisors (2947213374624).

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

1312400488608 is a wasteful number, since it uses less digits than its factorization.

1312400488608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135930 (or 135910 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 1312400488608 in words is "one trillion, three hundred twelve billion, four hundred million, four hundred eighty-eight thousand, six hundred eight".