12228004800 has 1008 divisors, whose sum is σ = 53064460800. Its totient is φ = 2632089600.

The previous prime is 12228004799. The next prime is 12228004801. The reversal of 12228004800 is 840082221.

It is an interprime number because it is at equal distance from previous prime (12228004799) and next prime (12228004801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12228004801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51163081 + ... + 51163319.

Almost surely, 2^12228004800 is an apocalyptic number.

12228004800 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 12228004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26532230400).

12228004800 is an abundant number, since it is smaller than the sum of its proper divisors (40836456000).

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

12228004800 is a wasteful number, since it uses less digits than its factorization.

12228004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 12228004800 in words is "twelve billion, two hundred twenty-eight million, four thousand, eight hundred".