12201002222112 has 288 divisors, whose sum is σ = 38288068640640. Its totient is φ = 3654590607360.

The previous prime is 12201002222051. The next prime is 12201002222119. The reversal of 12201002222112 is 21122220010221.

It is a happy number.

12201002222112 is a `hidden beast` number, since 1 + 220 + 10 + 0 + 222 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (12201002222119) 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, 1476578493 + ... + 1476586755.

It is an arithmetic number, because the mean of its divisors is an integer number (132944682780).

Almost surely, 2^{12201002222112} is an apocalyptic number.

12201002222112 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 12201002222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19144034320320).

12201002222112 is an abundant number, since it is smaller than the sum of its proper divisors (26087066418528).

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

12201002222112 is a wasteful number, since it uses less digits than its factorization.

12201002222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13616 (or 13605 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12201002222112 its reverse (21122220010221), we get a palindrome (33323222232333).

The spelling of 12201002222112 in words is "twelve trillion, two hundred one billion, two million, two hundred twenty-two thousand, one hundred twelve".