12161424000 has 512 divisors, whose sum is σ = 45459947520. Its totient is φ = 2849280000.

The previous prime is 12161423933. The next prime is 12161424017. The reversal of 12161424000 is 42416121.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16367629 + ... + 16368371.

It is an arithmetic number, because the mean of its divisors is an integer number (88788960).

Almost surely, 2^12161424000 is an apocalyptic number.

12161424000 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 12161424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22729973760).

12161424000 is an abundant number, since it is smaller than the sum of its proper divisors (33298523520).

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

12161424000 is a wasteful number, since it uses less digits than its factorization.

12161424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The spelling of 12161424000 in words is "twelve billion, one hundred sixty-one million, four hundred twenty-four thousand".