12247778028600 has 1152 divisors, whose sum is σ = 45804762057600. Its totient is φ = 2921696870400.

The previous prime is 12247778028593. The next prime is 12247778028653. The reversal of 12247778028600 is 682087774221.

12247778028600 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 7 + 7 + 7 + 8 + 0 + 28 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13015704130 + ... + 13015705070.

It is an arithmetic number, because the mean of its divisors is an integer number (39761078175).

Almost surely, 2^{12247778028600} is an apocalyptic number.

12247778028600 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 12247778028600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22902381028800).

12247778028600 is an abundant number, since it is smaller than the sum of its proper divisors (33556984029000).

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

12247778028600 is a wasteful number, since it uses less digits than its factorization.

12247778028600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 12247778028600 in words is "twelve trillion, two hundred forty-seven billion, seven hundred seventy-eight million, twenty-eight thousand, six hundred".