12211120211100 has 144 divisors (see below), whose sum is σ = 35604670738560. Its totient is φ = 3231066758400.

The previous prime is 12211120211063. The next prime is 12211120211161. The reversal of 12211120211100 is 111202111221.

It is a happy number.

It is a super-2 number, since 2×12211120211100² (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 12211120211100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 561704031 + ... + 561725769.

Almost surely, 2^{12211120211100} is an apocalyptic number.

12211120211100 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 12211120211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17802335369280).

12211120211100 is an abundant number, since it is smaller than the sum of its proper divisors (23393550527460).

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

12211120211100 is a wasteful number, since it uses less digits than its factorization.

12211120211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36180 (or 36173 counting only the distinct ones).

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

Adding to 12211120211100 its reverse (111202111221), we get a palindrome (12322322322321).

The spelling of 12211120211100 in words is "twelve trillion, two hundred eleven billion, one hundred twenty million, two hundred eleven thousand, one hundred".