12201120 has 144 divisors (see below), whose sum is σ = 42948360. Its totient is φ = 3151872.

The previous prime is 12201089. The next prime is 12201131. The reversal of 12201120 is 2110221.

It can be written as a sum of positive squares in 4 ways, for example, as 12194064 + 7056 = 3492^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53166 + ... + 53394.

Almost surely, 2^12201120 is an apocalyptic number.

12201120 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 12201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21474180).

12201120 is an abundant number, since it is smaller than the sum of its proper divisors (30747240).

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

12201120 is a wasteful number, since it uses less digits than its factorization.

12201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 12201120 is about 3493.0101631687. The cubic root of 12201120 is about 230.2147961896.

Adding to 12201120 its reverse (2110221), we get a palindrome (14311341).

It can be divided in two parts, 12201 and 120, that added together give a palindrome (12321).

The spelling of 12201120 in words is "twelve million, two hundred one thousand, one hundred twenty".