12122248320 has 768 divisors, whose sum is σ = 53220499200. Its totient is φ = 2553348096.

The previous prime is 12122248309. The next prime is 12122248343. The reversal of 12122248320 is 2384222121.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20441944 + ... + 20442536.

It is an arithmetic number, because the mean of its divisors is an integer number (69297525).

Almost surely, 2^12122248320 is an apocalyptic number.

12122248320 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 12122248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26610249600).

12122248320 is an abundant number, since it is smaller than the sum of its proper divisors (41098250880).

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

12122248320 is a wasteful number, since it uses less digits than its factorization.

12122248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 12122248320 in words is "twelve billion, one hundred twenty-two million, two hundred forty-eight thousand, three hundred twenty".