12120222221100 has 1296 divisors, whose sum is σ = 48705730321248. Its totient is φ = 2597686640640.

The previous prime is 12120222221089. The next prime is 12120222221101. The reversal of 12120222221100 is 112222202121.

It is a happy number.

12120222221100 is a `hidden beast` number, since 1 + 2 + 120 + 222 + 221 + 100 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12120222221101) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 6335713744 + ... + 6335715656.

It is an arithmetic number, because the mean of its divisors is an integer number (37581582038).

Almost surely, 2^{12120222221100} is an apocalyptic number.

12120222221100 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 12120222221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24352865160624).

12120222221100 is an abundant number, since it is smaller than the sum of its proper divisors (36585508100148).

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

12120222221100 is a wasteful number, since it uses less digits than its factorization.

12120222221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12120222221100 its reverse (112222202121), we get a palindrome (12232444423221).

The spelling of 12120222221100 in words is "twelve trillion, one hundred twenty billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred".