1199124084480 has 2304 divisors, whose sum is σ = 5153941094400. Its totient is φ = 231234600960.

The previous prime is 1199124084479. The next prime is 1199124084491. The reversal of 1199124084480 is 844804219911.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13473304276 + ... + 13473304364.

It is an arithmetic number, because the mean of its divisors is an integer number (2236953600).

Almost surely, 2^{1199124084480} is an apocalyptic number.

1199124084480 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 1199124084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576970547200).

1199124084480 is an abundant number, since it is smaller than the sum of its proper divisors (3954817009920).

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

1199124084480 is a wasteful number, since it uses less digits than its factorization.

1199124084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The spelling of 1199124084480 in words is "one trillion, one hundred ninety-nine billion, one hundred twenty-four million, eighty-four thousand, four hundred eighty".