12114075168 has 288 divisors, whose sum is σ = 38747283120. Its totient is φ = 3565486080.

The previous prime is 12114075163. The next prime is 12114075263. The reversal of 12114075168 is 86157041121.

12114075168 is a `hidden beast` number, since 121 + 14 + 0 + 7 + 516 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 863654544 + 11250420624 = 29388^2 + 106068^2 .

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

It is a super-3 number, since 3×12114075168³ (a number of 31 digits) contains 333 as substring.

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 (12114075163) 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 47 ways as a sum of consecutive naturals, for example, 8134968 + ... + 8136456.

Almost surely, 2^12114075168 is an apocalyptic number.

12114075168 is a gapful number since it is divisible by the number (18) 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 12114075168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19373641560).

12114075168 is an abundant number, since it is smaller than the sum of its proper divisors (26633207952).

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

12114075168 is a wasteful number, since it uses less digits than its factorization.

12114075168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 12114075168 in words is "twelve billion, one hundred fourteen million, seventy-five thousand, one hundred sixty-eight".