12201120201120 has 96 divisors (see below), whose sum is σ = 38463627299328. Its totient is φ = 3251084018688.

The previous prime is 12201120201079. The next prime is 12201120201157. The reversal of 12201120201120 is 2110202110221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12201120201120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9339664 + ... + 10565583.

It is an arithmetic number, because the mean of its divisors is an integer number (400662784368).

Almost surely, 2^{12201120201120} is an apocalyptic number.

12201120201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12201120201120 is an abundant number, since it is smaller than the sum of its proper divisors (26262507098208).

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

12201120201120 is a wasteful number, since it uses less digits than its factorization.

12201120201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19906542 (or 19906534 counting only the distinct ones).

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

Adding to 12201120201120 its reverse (2110202110221), we get a palindrome (14311322311341).

The spelling of 12201120201120 in words is "twelve trillion, two hundred one billion, one hundred twenty million, two hundred one thousand, one hundred twenty".