12285746304 has 128 divisors (see below), whose sum is σ = 35590329600. Its totient is φ = 3732258816.

The previous prime is 12285746287. The next prime is 12285746311. The reversal of 12285746304 is 40364758221.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378792 + ... + 409944.

It is an arithmetic number, because the mean of its divisors is an integer number (278049450).

Almost surely, 2^12285746304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12285746304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17795164800).

12285746304 is an abundant number, since it is smaller than the sum of its proper divisors (23304583296).

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

12285746304 is a wasteful number, since it uses less digits than its factorization.

12285746304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31262 (or 31250 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 12285746304 in words is "twelve billion, two hundred eighty-five million, seven hundred forty-six thousand, three hundred four".