1112181616000 has 1280 divisors, whose sum is σ = 3706400617920. Its totient is φ = 328753152000.

The previous prime is 1112181615997. The next prime is 1112181616027. The reversal of 1112181616000 is 6161812111.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1112181616000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8489935935 + ... + 8489936065.

Almost surely, 2^{1112181616000} is an apocalyptic number.

1112181616000 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 1112181616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853200308960).

1112181616000 is an abundant number, since it is smaller than the sum of its proper divisors (2594219001920).

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

1112181616000 is an equidigital number, since it uses as much as digits as its factorization.

1112181616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 28.

The spelling of 1112181616000 in words is "one trillion, one hundred twelve billion, one hundred eighty-one million, six hundred sixteen thousand".