12228642720 has 576 divisors, whose sum is σ = 49504815360. Its totient is φ = 2690924544.

The previous prime is 12228642703. The next prime is 12228642779. The reversal of 12228642720 is 2724682221.

12228642720 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 8 + 642 + 7 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38576002 + ... + 38576318.

It is an arithmetic number, because the mean of its divisors is an integer number (85945860).

Almost surely, 2^12228642720 is an apocalyptic number.

12228642720 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 12228642720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24752407680).

12228642720 is an abundant number, since it is smaller than the sum of its proper divisors (37276172640).

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

12228642720 is a wasteful number, since it uses less digits than its factorization.

12228642720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 12228642720 in words is "twelve billion, two hundred twenty-eight million, six hundred forty-two thousand, seven hundred twenty".