12022144241100 has 288 divisors, whose sum is σ = 40174259682816. Its totient is φ = 2718852096000.

The previous prime is 12022144241089. The next prime is 12022144241119. The reversal of 12022144241100 is 114244122021.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 323009692 + ... + 323046908.

It is an arithmetic number, because the mean of its divisors is an integer number (139493957232).

Almost surely, 2^{12022144241100} is an apocalyptic number.

12022144241100 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 12022144241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20087129841408).

12022144241100 is an abundant number, since it is smaller than the sum of its proper divisors (28152115441716).

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

12022144241100 is a wasteful number, since it uses less digits than its factorization.

12022144241100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38865 (or 38858 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 12022144241100 its reverse (114244122021), we get a palindrome (12136388363121).

The spelling of 12022144241100 in words is "twelve trillion, twenty-two billion, one hundred forty-four million, two hundred forty-one thousand, one hundred".