1287788212224 has 312 divisors, whose sum is σ = 3912141123072. Its totient is φ = 423193559040.

The previous prime is 1287788212147. The next prime is 1287788212267. The reversal of 1287788212224 is 4222128877821.

1287788212224 is a `hidden beast` number, since 128 + 7 + 7 + 88 + 212 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70659177 + ... + 70677399.

It is an arithmetic number, because the mean of its divisors is an integer number (12538913856).

Almost surely, 2^{1287788212224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1287788212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956070561536).

1287788212224 is an abundant number, since it is smaller than the sum of its proper divisors (2624352910848).

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

1287788212224 is an frugal number, since it uses more digits than its factorization.

1287788212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18333 (or 18299 counting only the distinct ones).

The product of its digits is 3211264, while the sum is 54.

The spelling of 1287788212224 in words is "one trillion, two hundred eighty-seven billion, seven hundred eighty-eight million, two hundred twelve thousand, two hundred twenty-four".