12200101111120 has 160 divisors (see below), whose sum is σ = 31057692180480. Its totient is φ = 4429606072320.

The previous prime is 12200101111117. The next prime is 12200101111183. The reversal of 12200101111120 is 2111110100221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 12200101111120.

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, 39494065 + ... + 39801775.

It is an arithmetic number, because the mean of its divisors is an integer number (194110576128).

Almost surely, 2^{12200101111120} is an apocalyptic number.

12200101111120 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 12200101111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15528846090240).

12200101111120 is an abundant number, since it is smaller than the sum of its proper divisors (18857591069360).

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

12200101111120 is a wasteful number, since it uses less digits than its factorization.

12200101111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308373 (or 308367 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12200101111120 its reverse (2111110100221), we get a palindrome (14311211211341).

The spelling of 12200101111120 in words is "twelve trillion, two hundred billion, one hundred one million, one hundred eleven thousand, one hundred twenty".