12122221111000 has 768 divisors, whose sum is σ = 38448537753600. Its totient is φ = 3473743104000.

The previous prime is 12122221110971. The next prime is 12122221111001. The reversal of 12122221111000 is 11112222121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122221111001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3500495269 + ... + 3500498731.

It is an arithmetic number, because the mean of its divisors is an integer number (50063200200).

Almost surely, 2^{12122221111000} is an apocalyptic number.

12122221111000 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 12122221111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19224268876800).

12122221111000 is an abundant number, since it is smaller than the sum of its proper divisors (26326316642600).

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

12122221111000 is a wasteful number, since it uses less digits than its factorization.

12122221111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3797 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12122221111000 its reverse (11112222121), we get a palindrome (12133333333121).

It can be divided in two parts, 12122221 and 111000, that added together give a palindrome (12233221).

The spelling of 12122221111000 in words is "twelve trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred eleven thousand".