12200223111120 has 480 divisors, whose sum is σ = 45935222636160. Its totient is φ = 2875812802560.

The previous prime is 12200223111091. The next prime is 12200223111121. The reversal of 12200223111120 is 2111132200221.

12200223111120 is a `hidden beast` number, since 1 + 220 + 0 + 22 + 311 + 112 + 0 = 666.

It is a super-2 number, since 2×12200223111120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12200223111093 and 12200223111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200223111121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 476763286 + ... + 476788874.

It is an arithmetic number, because the mean of its divisors is an integer number (95698380492).

Almost surely, 2^{12200223111120} is an apocalyptic number.

12200223111120 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 12200223111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22967611318080).

12200223111120 is an abundant number, since it is smaller than the sum of its proper divisors (33734999525040).

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

12200223111120 is a wasteful number, since it uses less digits than its factorization.

12200223111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27283 (or 27274 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12200223111120 its reverse (2111132200221), we get a palindrome (14311355311341).

The spelling of 12200223111120 in words is "twelve trillion, two hundred billion, two hundred twenty-three million, one hundred eleven thousand, one hundred twenty".