12342328978560 has 1024 divisors, whose sum is σ = 49119529697280. Its totient is φ = 2571417944064.

The previous prime is 12342328978489. The next prime is 12342328978649. The reversal of 12342328978560 is 6587982324321.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 12342328978494 and 12342328978503.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1885185207 + ... + 1885191753.

It is an arithmetic number, because the mean of its divisors is an integer number (47968290720).

It is a 1-persistent number, because it is pandigital, but 2⋅12342328978560 = 24684657957120 is not.

Almost surely, 2^{12342328978560} is an apocalyptic number.

12342328978560 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 12342328978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24559764848640).

12342328978560 is an abundant number, since it is smaller than the sum of its proper divisors (36777200718720).

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

12342328978560 is a wasteful number, since it uses less digits than its factorization.

12342328978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6853 (or 6841 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 12342328978560 in words is "twelve trillion, three hundred forty-two billion, three hundred twenty-eight million, nine hundred seventy-eight thousand, five hundred sixty".