12050161405200 has 180 divisors, whose sum is σ = 41871795905940. Its totient is φ = 3209196994560.

The previous prime is 12050161405189. The next prime is 12050161405253. The reversal of 12050161405200 is 250416105021.

12050161405200 is a `hidden beast` number, since 1 + 2 + 0 + 50 + 1 + 6 + 1 + 405 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 12897690624 + 12037263714576 = 113568^2 + 3469476^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 592024 + ... + 4944776.

Almost surely, 2^{12050161405200} is an apocalyptic number.

12050161405200 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 12050161405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20935897952970).

12050161405200 is an abundant number, since it is smaller than the sum of its proper divisors (29821634500740).

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

12050161405200 is a wasteful number, since it uses less digits than its factorization.

12050161405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4353546 (or 4353532 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 12050161405200 in words is "twelve trillion, fifty billion, one hundred sixty-one million, four hundred five thousand, two hundred".