12346160000 has 320 divisors, whose sum is σ = 32632741680. Its totient is φ = 4644864000.

The previous prime is 12346159997. The next prime is 12346160023. The reversal of 12346160000 is 6164321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 127279952 + ... + 127280048.

Almost surely, 2^12346160000 is an apocalyptic number.

12346160000 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 12346160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16316370840).

12346160000 is an abundant number, since it is smaller than the sum of its proper divisors (20286581680).

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

12346160000 is an frugal number, since it uses more digits than its factorization.

12346160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The spelling of 12346160000 in words is "twelve billion, three hundred forty-six million, one hundred sixty thousand".