12299578560 has 336 divisors, whose sum is σ = 45382952160. Its totient is φ = 3047915520.

The previous prime is 12299578559. The next prime is 12299578607. The reversal of 12299578560 is 6587599221.

12299578560 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 9 + 5 + 78 + 560 = 666.

It is a super-2 number, since 2×12299578560² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12299578497 and 12299578506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2898040 + ... + 2902280.

It is an arithmetic number, because the mean of its divisors is an integer number (135068310).

Almost surely, 2^12299578560 is an apocalyptic number.

12299578560 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 12299578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22691476080).

12299578560 is an abundant number, since it is smaller than the sum of its proper divisors (33083373600).

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

12299578560 is a wasteful number, since it uses less digits than its factorization.

12299578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4336 (or 4323 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 12299578560 in words is "twelve billion, two hundred ninety-nine million, five hundred seventy-eight thousand, five hundred sixty".