12201121101120 has 448 divisors, whose sum is σ = 47862331422720. Its totient is φ = 2570639597568.

The previous prime is 12201121101109. The next prime is 12201121101199. The reversal of 12201121101120 is 2110112110221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×12201121101120² (a number of 27 digits) contains 22 as substring.

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 12201121101120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3432807 + ... + 6015513.

Almost surely, 2^{12201121101120} is an apocalyptic number.

12201121101120 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 12201121101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23931165711360).

12201121101120 is an abundant number, since it is smaller than the sum of its proper divisors (35661210321600).

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

12201121101120 is a wasteful number, since it uses less digits than its factorization.

12201121101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2582790 (or 2582780 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12201121101120 its reverse (2110112110221), we get a palindrome (14311233211341).

It can be divided in two parts, 1220112 and 1101120, that added together give a palindrome (2321232).

The spelling of 12201121101120 in words is "twelve trillion, two hundred one billion, one hundred twenty-one million, one hundred one thousand, one hundred twenty".