12201200210112 has 224 divisors, whose sum is σ = 34481523640320. Its totient is φ = 3799189954560.

The previous prime is 12201200210051. The next prime is 12201200210113. The reversal of 12201200210112 is 21101200210221.

It is a super-2 number, since 2×12201200210112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12201200210091 and 12201200210100.

It is not an unprimeable number, because it can be changed into a prime (12201200210113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1017863383 + ... + 1017875369.

Almost surely, 2^{12201200210112} is an apocalyptic number.

12201200210112 is a gapful number since it is divisible by the number (12) 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 12201200210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17240761820160).

12201200210112 is an abundant number, since it is smaller than the sum of its proper divisors (22280323430208).

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

12201200210112 is a wasteful number, since it uses less digits than its factorization.

12201200210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17959 (or 17949 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12201200210112 its reverse (21101200210221), we get a palindrome (33302400420333).

The spelling of 12201200210112 in words is "twelve trillion, two hundred one billion, two hundred million, two hundred ten thousand, one hundred twelve".