12048220800 has 768 divisors, whose sum is σ = 55003622400. Its totient is φ = 2502144000.

The previous prime is 12048220727. The next prime is 12048220817. The reversal of 12048220800 is 802284021.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6651895 + ... + 6653705.

It is an arithmetic number, because the mean of its divisors is an integer number (71619300).

Almost surely, 2^12048220800 is an apocalyptic number.

12048220800 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 12048220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27501811200).

12048220800 is an abundant number, since it is smaller than the sum of its proper divisors (42955401600).

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

12048220800 is a wasteful number, since it uses less digits than its factorization.

12048220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1839 counting only the distinct ones).

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

The spelling of 12048220800 in words is "twelve billion, forty-eight million, two hundred twenty thousand, eight hundred".