12228652800 has 648 divisors, whose sum is σ = 53832533664. Its totient is φ = 2579005440.

The previous prime is 12228652783. The next prime is 12228652819. The reversal of 12228652800 is 825682221.

12228652800 is a `hidden beast` number, since 122 + 2 + 8 + 6 + 528 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5240434 + ... + 5242766.

Almost surely, 2^12228652800 is an apocalyptic number.

12228652800 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 12228652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26916266832).

12228652800 is an abundant number, since it is smaller than the sum of its proper divisors (41603880864).

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

12228652800 is a wasteful number, since it uses less digits than its factorization.

12228652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 12228652800 in words is "twelve billion, two hundred twenty-eight million, six hundred fifty-two thousand, eight hundred".