12201012120 has 128 divisors (see below), whose sum is σ = 39957027840. Its totient is φ = 2955863040.

The previous prime is 12201012113. The next prime is 12201012143. The reversal of 12201012120 is 2121010221.

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

It is a junction number, because it is equal to n+sod(n) for n = 12201012096 and 12201012105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3579457 + ... + 3582863.

It is an arithmetic number, because the mean of its divisors is an integer number (312164280).

Almost surely, 2^12201012120 is an apocalyptic number.

12201012120 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 12201012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19978513920).

12201012120 is an abundant number, since it is smaller than the sum of its proper divisors (27756015720).

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

12201012120 is a wasteful number, since it uses less digits than its factorization.

12201012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6145 (or 6141 counting only the distinct ones).

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

Adding to 12201012120 its reverse (2121010221), we get a palindrome (14322022341).

It can be divided in two parts, 1220101 and 2120, that added together give a palindrome (1222221).

The spelling of 12201012120 in words is "twelve billion, two hundred one million, twelve thousand, one hundred twenty".