1122284558304 has 576 divisors, whose sum is σ = 4121663616000. Its totient is φ = 294471023616.

The previous prime is 1122284558299. The next prime is 1122284558321. The reversal of 1122284558304 is 4038554822211.

1122284558304 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 28 + 45 + 583 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1122284558304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109518109 + ... + 109528355.

It is an arithmetic number, because the mean of its divisors is an integer number (7155666000).

Almost surely, 2^{1122284558304} is an apocalyptic number.

1122284558304 is a gapful number since it is divisible by the number (14) 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 1122284558304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060831808000).

1122284558304 is an abundant number, since it is smaller than the sum of its proper divisors (2999379057696).

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

1122284558304 is a wasteful number, since it uses less digits than its factorization.

1122284558304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10492 (or 10471 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 1122284558304 in words is "one trillion, one hundred twenty-two billion, two hundred eighty-four million, five hundred fifty-eight thousand, three hundred four".