12211101120 has 224 divisors, whose sum is σ = 41552091648. Its totient is φ = 3030331392.

The previous prime is 12211101101. The next prime is 12211101163. The reversal of 12211101120 is 2110111221.

It is a super-2 number, since 2×12211101120² (a number of 21 digits) contains 22 as substring.

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 = 12211101096 and 12211101105.

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, 809487 + ... + 824433.

Almost surely, 2^12211101120 is an apocalyptic number.

12211101120 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 12211101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20776045824).

12211101120 is an abundant number, since it is smaller than the sum of its proper divisors (29340990528).

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

12211101120 is a wasteful number, since it uses less digits than its factorization.

12211101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15027 (or 15017 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12211101120 its reverse (2110111221), we get a palindrome (14321212341).

It can be divided in two parts, 12211101 and 120, that added together give a palindrome (12211221).

The spelling of 12211101120 in words is "twelve billion, two hundred eleven million, one hundred one thousand, one hundred twenty".