12200032240000 has 1280 divisors, whose sum is σ = 36341167104000. Its totient is φ = 4030387200000.

The previous prime is 12200032239917. The next prime is 12200032240051. The reversal of 12200032240000 is 4223000221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 51046159881 + ... + 51046160119.

It is an arithmetic number, because the mean of its divisors is an integer number (28391536800).

Almost surely, 2^{12200032240000} is an apocalyptic number.

12200032240000 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 12200032240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18170583552000).

12200032240000 is an abundant number, since it is smaller than the sum of its proper divisors (24141134864000).

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

12200032240000 is a wasteful number, since it uses less digits than its factorization.

12200032240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 12200032240000 its reverse (4223000221), we get a palindrome (12204255240221).

The spelling of 12200032240000 in words is "twelve trillion, two hundred billion, thirty-two million, two hundred forty thousand".