12161501444160 has 168 divisors, whose sum is σ = 41835771857880. Its totient is φ = 3242658152448.

The previous prime is 12161501444137. The next prime is 12161501444161. The reversal of 12161501444160 is 6144410516121.

12161501444160 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 1 + 50 + 1 + 444 + 160 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 174229438464 + 11987272005696 = 417408^2 + 3462264^2 .

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 (12161501444161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22930456 + ... + 23454824.

It is an arithmetic number, because the mean of its divisors is an integer number (249022451535).

Almost surely, 2^{12161501444160} is an apocalyptic number.

12161501444160 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 12161501444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20917885928940).

12161501444160 is an abundant number, since it is smaller than the sum of its proper divisors (29674270413720).

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

12161501444160 is a wasteful number, since it uses less digits than its factorization.

12161501444160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532445 (or 532432 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 12161501444160 in words is "twelve trillion, one hundred sixty-one billion, five hundred one million, four hundred forty-four thousand, one hundred sixty".