12211100000 has 288 divisors, whose sum is σ = 34761962592. Its totient is φ = 4172800000.

The previous prime is 12211099961. The next prime is 12211100003. The reversal of 12211100000 is 111221.

It is a super-2 number, since 2×12211100000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211100003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18699674 + ... + 18700326.

It is an arithmetic number, because the mean of its divisors is an integer number (120701259).

Almost surely, 2^12211100000 is an apocalyptic number.

12211100000 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 12211100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17380981296).

12211100000 is an abundant number, since it is smaller than the sum of its proper divisors (22550862592).

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

12211100000 is an equidigital number, since it uses as much as digits as its factorization.

12211100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12211100000 its reverse (111221), we get a palindrome (12211211221).

It can be divided in two parts, 12211 and 100000, that added together give a palindrome (112211).

The spelling of 12211100000 in words is "twelve billion, two hundred eleven million, one hundred thousand".