12293080800 has 1728 divisors, whose sum is σ = 59247707904. Its totient is φ = 2167603200.

The previous prime is 12293080777. The next prime is 12293080819. The reversal of 12293080800 is 808039221.

12293080800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12293080800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 285885579 + ... + 285885621.

It is an arithmetic number, because the mean of its divisors is an integer number (34286868).

Almost surely, 2^12293080800 is an apocalyptic number.

12293080800 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 12293080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29623853952).

12293080800 is an abundant number, since it is smaller than the sum of its proper divisors (46954627104).

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

12293080800 is a wasteful number, since it uses less digits than its factorization.

12293080800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 12293080800 in words is "twelve billion, two hundred ninety-three million, eighty thousand, eight hundred".