12201222111120 has 1440 divisors, whose sum is σ = 49833830618208. Its totient is φ = 2665185804288.

The previous prime is 12201222111109. The next prime is 12201222111161. The reversal of 12201222111120 is 2111122210221.

12201222111120 is a `hidden beast` number, since 1 + 220 + 122 + 211 + 112 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 830190677904 + 11371031433216 = 911148^2 + 3372096^2 .

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 = 12201222111093 and 12201222111102.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21905245882 + ... + 21905246438.

Almost surely, 2^{12201222111120} is an apocalyptic number.

12201222111120 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 12201222111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24916915309104).

12201222111120 is an abundant number, since it is smaller than the sum of its proper divisors (37632608507088).

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

12201222111120 is a wasteful number, since it uses less digits than its factorization.

12201222111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12201222111120 its reverse (2111122210221), we get a palindrome (14312344321341).

The spelling of 12201222111120 in words is "twelve trillion, two hundred one billion, two hundred twenty-two million, one hundred eleven thousand, one hundred twenty".