12161668460 has 48 divisors (see below), whose sum is σ = 26402634720. Its totient is φ = 4702440960.

The previous prime is 12161668427. The next prime is 12161668489. The reversal of 12161668460 is 6486616121.

12161668460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21347 + ... + 157413.

It is an arithmetic number, because the mean of its divisors is an integer number (550054890).

Almost surely, 2^12161668460 is an apocalyptic number.

12161668460 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 12161668460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13201317360).

12161668460 is an abundant number, since it is smaller than the sum of its proper divisors (14240966260).

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

12161668460 is a wasteful number, since it uses less digits than its factorization.

12161668460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136226 (or 136224 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 12161668460 in words is "twelve billion, one hundred sixty-one million, six hundred sixty-eight thousand, four hundred sixty".