12160419840 has 432 divisors, whose sum is σ = 44006393340. Its totient is φ = 3224862720.

The previous prime is 12160419833. The next prime is 12160419851. The reversal of 12160419840 is 4891406121.

12160419840 is a `hidden beast` number, since 1 + 2 + 1 + 604 + 1 + 9 + 8 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10218783744 + 1941636096 = 101088^2 + 44064^2 .

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12160419795 and 12160419804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67184550 + ... + 67184730.

Almost surely, 2^12160419840 is an apocalyptic number.

12160419840 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 12160419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22003196670).

12160419840 is an abundant number, since it is smaller than the sum of its proper divisors (31845973500).

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

12160419840 is an frugal number, since it uses more digits than its factorization.

12160419840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 12160419840 in words is "twelve billion, one hundred sixty million, four hundred nineteen thousand, eight hundred forty".