1185981189120 has 2112 divisors, whose sum is σ = 5438596939776. Its totient is φ = 231871610880.

The previous prime is 1185981189119. The next prime is 1185981189139. The reversal of 1185981189120 is 219811895811.

1185981189120 is a `hidden beast` number, since 1 + 18 + 598 + 1 + 18 + 9 + 1 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9053291455 + ... + 9053291585.

It is an arithmetic number, because the mean of its divisors is an integer number (2575093248).

Almost surely, 2^{1185981189120} is an apocalyptic number.

1185981189120 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 1185981189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719298469888).

1185981189120 is an abundant number, since it is smaller than the sum of its proper divisors (4252615750656).

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

1185981189120 is a wasteful number, since it uses less digits than its factorization.

1185981189120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 54.

The spelling of 1185981189120 in words is "one trillion, one hundred eighty-five billion, nine hundred eighty-one million, one hundred eighty-nine thousand, one hundred twenty".