12161749916160 has 1280 divisors, whose sum is σ = 48444144376320. Its totient is φ = 2872277729280.

The previous prime is 12161749916153. The next prime is 12161749916161. The reversal of 12161749916160 is 6161994716121.

12161749916160 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 17 + 4 + 9 + 9 + 1 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×12161749916160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12161749916097 and 12161749916106.

It is not an unprimeable number, because it can be changed into a prime (12161749916161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2427008055 + ... + 2427013065.

It is an arithmetic number, because the mean of its divisors is an integer number (37846987794).

Almost surely, 2^{12161749916160} is an apocalyptic number.

12161749916160 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 12161749916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24222072188160).

12161749916160 is an abundant number, since it is smaller than the sum of its proper divisors (36282394460160).

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

12161749916160 is a wasteful number, since it uses less digits than its factorization.

12161749916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5166 (or 5144 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 12161749916160 in words is "twelve trillion, one hundred sixty-one billion, seven hundred forty-nine million, nine hundred sixteen thousand, one hundred sixty".