1287142188816 has 160 divisors (see below), whose sum is σ = 3649124691072. Its totient is φ = 387710484480.

The previous prime is 1287142188769. The next prime is 1287142188853. The reversal of 1287142188816 is 6188812417821.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148062166 + ... + 148070858.

Almost surely, 2^{1287142188816} is an apocalyptic number.

1287142188816 is a gapful number since it is divisible by the number (16) 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 1287142188816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824562345536).

1287142188816 is an abundant number, since it is smaller than the sum of its proper divisors (2361982502256).

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

1287142188816 is a wasteful number, since it uses less digits than its factorization.

1287142188816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10361 (or 10355 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 57.

The spelling of 1287142188816 in words is "one trillion, two hundred eighty-seven billion, one hundred forty-two million, one hundred eighty-eight thousand, eight hundred sixteen".