1287408936105 has 24 divisors (see below), whose sum is σ = 2256581962440. Its totient is φ = 678903287040.

The previous prime is 1287408936091. The next prime is 1287408936109. The reversal of 1287408936105 is 5016398047821.

1287408936105 is a `hidden beast` number, since 12 + 8 + 7 + 4 + 0 + 8 + 9 + 3 + 610 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 257849668521 + 1029559267584 = 507789^2 + 1014672^2 .

It is not a de Polignac number, because 1287408936105 - 2²³ = 1287400547497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1287408936109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160721206 + ... + 160729215.

It is an arithmetic number, because the mean of its divisors is an integer number (94024248435).

It is a 1-persistent number, because it is pandigital, but 2⋅1287408936105 = 2574817872210 is not.

Almost surely, 2^{1287408936105} is an apocalyptic number.

1287408936105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1287408936105 is a deficient number, since it is larger than the sum of its proper divisors (969173026335).

1287408936105 is a wasteful number, since it uses less digits than its factorization.

1287408936105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321450521 (or 321450518 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1287408936105 in words is "one trillion, two hundred eighty-seven billion, four hundred eight million, nine hundred thirty-six thousand, one hundred five".