12165107760 has 240 divisors, whose sum is σ = 44934873984. Its totient is φ = 2930669568.

The previous prime is 12165107749. The next prime is 12165107797. The reversal of 12165107760 is 6770156121.

12165107760 is a `hidden beast` number, since 1 + 2 + 16 + 510 + 77 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 426094 + ... + 453746.

Almost surely, 2^12165107760 is an apocalyptic number.

12165107760 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 12165107760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22467436992).

12165107760 is an abundant number, since it is smaller than the sum of its proper divisors (32769766224).

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

12165107760 is a wasteful number, since it uses less digits than its factorization.

12165107760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27732 (or 27723 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 12165107760 in words is "twelve billion, one hundred sixty-five million, one hundred seven thousand, seven hundred sixty".