12211323120 has 240 divisors, whose sum is σ = 42266640000. Its totient is φ = 3157180416.

The previous prime is 12211323097. The next prime is 12211323121. The reversal of 12211323120 is 2132311221.

12211323120 is a `hidden beast` number, since 1 + 221 + 1 + 323 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12211323093 and 12211323102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211323121) 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, 9776256 + ... + 9777504.

It is an arithmetic number, because the mean of its divisors is an integer number (176111000).

Almost surely, 2^12211323120 is an apocalyptic number.

12211323120 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 12211323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21133320000).

12211323120 is an abundant number, since it is smaller than the sum of its proper divisors (30055316880).

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

12211323120 is a wasteful number, since it uses less digits than its factorization.

12211323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12211323120 its reverse (2132311221), we get a palindrome (14343634341).

The spelling of 12211323120 in words is "twelve billion, two hundred eleven million, three hundred twenty-three thousand, one hundred twenty".