1287344030112 has 288 divisors, whose sum is σ = 4203121104000. Its totient is φ = 366123663360.

The previous prime is 1287344030099. The next prime is 1287344030113. The reversal of 1287344030112 is 2110304437821.

1287344030112 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 344 + 0 + 301 + 1 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1287344030113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 858801139 + ... + 858802637.

It is an arithmetic number, because the mean of its divisors is an integer number (14594170500).

Almost surely, 2^{1287344030112} is an apocalyptic number.

1287344030112 is a gapful number since it is divisible by the number (12) 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 1287344030112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101560552000).

1287344030112 is an abundant number, since it is smaller than the sum of its proper divisors (2915777073888).

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

1287344030112 is a wasteful number, since it uses less digits than its factorization.

1287344030112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 1287344030112 its reverse (2110304437821), we get a palindrome (3397648467933).

The spelling of 1287344030112 in words is "one trillion, two hundred eighty-seven billion, three hundred forty-four million, thirty thousand, one hundred twelve".