12146023680 has 576 divisors, whose sum is σ = 46283747328. Its totient is φ = 2657157120.

The previous prime is 12146023651. The next prime is 12146023717. The reversal of 12146023680 is 8632064121.

12146023680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 110209²-1.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 113514187 + ... + 113514293.

It is an arithmetic number, because the mean of its divisors is an integer number (80353728).

Almost surely, 2^12146023680 is an apocalyptic number.

12146023680 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 12146023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23141873664).

12146023680 is an abundant number, since it is smaller than the sum of its proper divisors (34137723648).

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

12146023680 is a wasteful number, since it uses less digits than its factorization.

12146023680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 12146023680 in words is "twelve billion, one hundred forty-six million, twenty-three thousand, six hundred eighty".