1312289220528 has 1600 divisors, whose sum is σ = 4954632883200. Its totient is φ = 329204736000.

The previous prime is 1312289220493. The next prime is 1312289220553. The reversal of 1312289220528 is 8250229822131.

1312289220528 is a `hidden beast` number, since 1 + 3 + 1 + 22 + 89 + 2 + 20 + 528 = 666.

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 319 ways as a sum of consecutive naturals, for example, 7250216598 + ... + 7250216778.

It is an arithmetic number, because the mean of its divisors is an integer number (3096645552).

Almost surely, 2^{1312289220528} is an apocalyptic number.

1312289220528 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 1312289220528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477316441600).

1312289220528 is an abundant number, since it is smaller than the sum of its proper divisors (3642343662672).

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

1312289220528 is a wasteful number, since it uses less digits than its factorization.

1312289220528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1312289220528 in words is "one trillion, three hundred twelve billion, two hundred eighty-nine million, two hundred twenty thousand, five hundred twenty-eight".