12285357000 has 256 divisors, whose sum is σ = 45318873600. Its totient is φ = 2711116800.

The previous prime is 12285356977. The next prime is 12285357013. The reversal of 12285357000 is 75358221.

12285357000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 598914 + ... + 619086.

It is an arithmetic number, because the mean of its divisors is an integer number (177026850).

Almost surely, 2^12285357000 is an apocalyptic number.

12285357000 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 12285357000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22659436800).

12285357000 is an abundant number, since it is smaller than the sum of its proper divisors (33033516600).

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

12285357000 is a wasteful number, since it uses less digits than its factorization.

12285357000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20233 (or 20219 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 12285357000 in words is "twelve billion, two hundred eighty-five million, three hundred fifty-seven thousand".