1287178427304 has 1152 divisors, whose sum is σ = 4932285696000. Its totient is φ = 298417996800.

The previous prime is 1287178427299. The next prime is 1287178427321. The reversal of 1287178427304 is 4037248717821.

It is a happy number.

1287178427304 is a `hidden beast` number, since 1 + 287 + 17 + 8 + 42 + 7 + 304 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1204095282 + ... + 1204096350.

It is an arithmetic number, because the mean of its divisors is an integer number (4281498000).

Almost surely, 2^{1287178427304} is an apocalyptic number.

1287178427304 is a gapful number since it is divisible by the number (14) 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 1287178427304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466142848000).

1287178427304 is an abundant number, since it is smaller than the sum of its proper divisors (3645107268696).

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

1287178427304 is a wasteful number, since it uses less digits than its factorization.

1287178427304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 1287178427304 in words is "one trillion, two hundred eighty-seven billion, one hundred seventy-eight million, four hundred twenty-seven thousand, three hundred four".