12220231201200 has 480 divisors, whose sum is σ = 49085247628800. Its totient is φ = 2860324992000.

The previous prime is 12220231201151. The next prime is 12220231201201. The reversal of 12220231201200 is 210213202221.

12220231201200 is a `hidden beast` number, since 12 + 2 + 20 + 231 + 201 + 200 = 666.

It is a super-2 number, since 2×12220231201200² (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 not an unprimeable number, because it can be changed into a prime (12220231201201) 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, 1671685 + ... + 5218715.

It is an arithmetic number, because the mean of its divisors is an integer number (102260932560).

Almost surely, 2^{12220231201200} is an apocalyptic number.

12220231201200 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 12220231201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24542623814400).

12220231201200 is an abundant number, since it is smaller than the sum of its proper divisors (36865016427600).

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

12220231201200 is a wasteful number, since it uses less digits than its factorization.

12220231201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3547098 (or 3547081 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12220231201200 its reverse (210213202221), we get a palindrome (12430444403421).

The spelling of 12220231201200 in words is "twelve trillion, two hundred twenty billion, two hundred thirty-one million, two hundred one thousand, two hundred".