12116435760 has 320 divisors, whose sum is σ = 49031861760. Its totient is φ = 2711301120.

The previous prime is 12116435753. The next prime is 12116435761. The reversal of 12116435760 is 6753461121.

12116435760 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 643 + 5 + 7 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12116435761) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 289267 + ... + 328493.

It is an arithmetic number, because the mean of its divisors is an integer number (153224568).

Almost surely, 2^12116435760 is an apocalyptic number.

12116435760 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 12116435760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24515930880).

12116435760 is an abundant number, since it is smaller than the sum of its proper divisors (36915426000).

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

12116435760 is a wasteful number, since it uses less digits than its factorization.

12116435760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39273 (or 39261 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 12116435760 its reverse (6753461121), we get a palindrome (18869896881).

The spelling of 12116435760 in words is "twelve billion, one hundred sixteen million, four hundred thirty-five thousand, seven hundred sixty".