12208420224 has 512 divisors, whose sum is σ = 48392064000. Its totient is φ = 2926264320.

The previous prime is 12208420223. The next prime is 12208420247. The reversal of 12208420224 is 42202480221.

12208420224 is a `hidden beast` number, since 12 + 2 + 0 + 8 + 420 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12208420223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3457692 + ... + 3461220.

It is an arithmetic number, because the mean of its divisors is an integer number (94515750).

Almost surely, 2^12208420224 is an apocalyptic number.

12208420224 is a gapful number since it is divisible by the number (14) 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 12208420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24196032000).

12208420224 is an abundant number, since it is smaller than the sum of its proper divisors (36183643776).

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

12208420224 is a wasteful number, since it uses less digits than its factorization.

12208420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583 (or 3565 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The spelling of 12208420224 in words is "twelve billion, two hundred eight million, four hundred twenty thousand, two hundred twenty-four".