12225850560 has 1792 divisors, whose sum is σ = 60675194880. Its totient is φ = 2238382080.

The previous prime is 12225850531. The next prime is 12225850573. The reversal of 12225850560 is 6505852221.

It is a happy number.

12225850560 is a `hidden beast` number, since 1 + 2 + 22 + 585 + 0 + 56 + 0 = 666.

12225850560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 255 ways as a sum of consecutive naturals, for example, 260124457 + ... + 260124503.

Almost surely, 2^12225850560 is an apocalyptic number.

12225850560 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 12225850560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30337597440).

12225850560 is an abundant number, since it is smaller than the sum of its proper divisors (48449344320).

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

12225850560 is a wasteful number, since it uses less digits than its factorization.

12225850560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 12225850560 in words is "twelve billion, two hundred twenty-five million, eight hundred fifty thousand, five hundred sixty".