12161175120 has 240 divisors, whose sum is σ = 41575923792. Its totient is φ = 3185049600.

The previous prime is 12161175109. The next prime is 12161175121. The reversal of 12161175120 is 2157116121.

12161175120 is a `hidden beast` number, since 1 + 21 + 611 + 7 + 5 + 1 + 20 = 666.

12161175120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4533598224 + 7627576896 = 67332^2 + 87336^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12161175121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21076272 + ... + 21076848.

Almost surely, 2^12161175120 is an apocalyptic number.

12161175120 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 12161175120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20787961896).

12161175120 is an abundant number, since it is smaller than the sum of its proper divisors (29414748672).

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

12161175120 is a wasteful number, since it uses less digits than its factorization.

12161175120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The spelling of 12161175120 in words is "twelve billion, one hundred sixty-one million, one hundred seventy-five thousand, one hundred twenty".