1288048449312 has 72 divisors (see below), whose sum is σ = 3855671361360. Its totient is φ = 406752140160.

The previous prime is 1288048449283. The next prime is 1288048449313. The reversal of 1288048449312 is 2139448408821.

1288048449312 is a `hidden beast` number, since 1 + 28 + 80 + 48 + 4 + 493 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1288048449313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117689014 + ... + 117699957.

It is an arithmetic number, because the mean of its divisors is an integer number (53550991130).

Almost surely, 2^{1288048449312} is an apocalyptic number.

1288048449312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1288048449312 is an abundant number, since it is smaller than the sum of its proper divisors (2567622912048).

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

1288048449312 is a wasteful number, since it uses less digits than its factorization.

1288048449312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235389006 (or 235388995 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 1288048449312 in words is "one trillion, two hundred eighty-eight billion, forty-eight million, four hundred forty-nine thousand, three hundred twelve".