1128487291200 has 672 divisors, whose sum is σ = 4215812670720. Its totient is φ = 293555404800.

The previous prime is 1128487291097. The next prime is 1128487291223. The reversal of 1128487291200 is 21927848211.

1128487291200 is a `hidden beast` number, since 1 + 1 + 2 + 84 + 87 + 291 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 297516504 + ... + 297520296.

It is an arithmetic number, because the mean of its divisors is an integer number (6273530760).

Almost surely, 2^{1128487291200} is an apocalyptic number.

1128487291200 is a gapful number since it is divisible by the number (10) 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 1128487291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107906335360).

1128487291200 is an abundant number, since it is smaller than the sum of its proper divisors (3087325379520).

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

1128487291200 is a wasteful number, since it uses less digits than its factorization.

1128487291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3992 (or 3971 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 1128487291200 in words is "one trillion, one hundred twenty-eight billion, four hundred eighty-seven million, two hundred ninety-one thousand, two hundred".