12201120001200 has 240 divisors, whose sum is σ = 42146086290336. Its totient is φ = 2999403110400.

The previous prime is 12201120001171. The next prime is 12201120001201. The reversal of 12201120001200 is 210002110221.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12201120001201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11357722 + ... + 12385478.

Almost surely, 2^{12201120001200} is an apocalyptic number.

12201120001200 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 12201120001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21073043145168).

12201120001200 is an abundant number, since it is smaller than the sum of its proper divisors (29944966289136).

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

12201120001200 is a wasteful number, since it uses less digits than its factorization.

12201120001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028552 (or 1028541 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12201120001200 its reverse (210002110221), we get a palindrome (12411122111421).

The spelling of 12201120001200 in words is "twelve trillion, two hundred one billion, one hundred twenty million, one thousand, two hundred".