1116312120 has 432 divisors, whose sum is σ = 4647759480. Its totient is φ = 231517440.

The previous prime is 1116312079. The next prime is 1116312203. The reversal of 1116312120 is 212136111.

1116312120 is a `hidden beast` number, since 1 + 11 + 631 + 2 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1116312093 and 1116312102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2134179 + ... + 2134701.

Almost surely, 2^1116312120 is an apocalyptic number.

1116312120 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 1116312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323879740).

1116312120 is an abundant number, since it is smaller than the sum of its proper divisors (3531447360).

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

1116312120 is a wasteful number, since it uses less digits than its factorization.

1116312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1116312120 is about 33411.2573843009. The cubic root of 1116312120 is about 1037.3577280114.

Adding to 1116312120 its reverse (212136111), we get a palindrome (1328448231).

It can be divided in two parts, 1116 and 312120, that added together give a triangular number (313236 = T₇₉₁).

The spelling of 1116312120 in words is "one billion, one hundred sixteen million, three hundred twelve thousand, one hundred twenty".