1182128088960 has 2304 divisors, whose sum is σ = 5566704998400. Its totient is φ = 228248616960.

The previous prime is 1182128088923. The next prime is 1182128088961. The reversal of 1182128088960 is 698808212811.

It is a junction number, because it is equal to n+sod(n) for n = 1182128088897 and 1182128088906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1182128088961) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 2161111407 + ... + 2161111953.

It is an arithmetic number, because the mean of its divisors is an integer number (2416104600).

Almost surely, 2^{1182128088960} is an apocalyptic number.

1182128088960 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 1182128088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783352499200).

1182128088960 is an abundant number, since it is smaller than the sum of its proper divisors (4384576909440).

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

1182128088960 is a wasteful number, since it uses less digits than its factorization.

1182128088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 54.

The spelling of 1182128088960 in words is "one trillion, one hundred eighty-two billion, one hundred twenty-eight million, eighty-eight thousand, nine hundred sixty".