1116838185120 has 288 divisors, whose sum is σ = 4360354322688. Its totient is φ = 255002701824.

The previous prime is 1116838185097. The next prime is 1116838185139. The reversal of 1116838185120 is 215818386111.

1116838185120 is a `hidden beast` number, since 1 + 11 + 68 + 381 + 85 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 9385837 + ... + 9504083.

It is an arithmetic number, because the mean of its divisors is an integer number (15140119176).

Almost surely, 2^{1116838185120} is an apocalyptic number.

1116838185120 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 1116838185120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180177161344).

1116838185120 is an abundant number, since it is smaller than the sum of its proper divisors (3243516137568).

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

1116838185120 is a wasteful number, since it uses less digits than its factorization.

1116838185120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119212 (or 119201 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The spelling of 1116838185120 in words is "one trillion, one hundred sixteen billion, eight hundred thirty-eight million, one hundred eighty-five thousand, one hundred twenty".