1181786112000 has 1360 divisors, whose sum is σ = 4779953850672. Its totient is φ = 288777830400.

The previous prime is 1181786111999. The next prime is 1181786112053. The reversal of 1181786112000 is 2116871811.

1181786112000 is a `hidden beast` number, since 1 + 1 + 8 + 17 + 8 + 611 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 557256278016 + 624529833984 = 746496^2 + 790272^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8626175932 + ... + 8626176068.

Almost surely, 2^{1181786112000} is an apocalyptic number.

1181786112000 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 1181786112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389976925336).

1181786112000 is an abundant number, since it is smaller than the sum of its proper divisors (3598167738672).

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

1181786112000 is an frugal number, since it uses more digits than its factorization.

1181786112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 36.

The spelling of 1181786112000 in words is "one trillion, one hundred eighty-one billion, seven hundred eighty-six million, one hundred twelve thousand".