122212212001000 has 384 divisors, whose sum is σ = 317801969372160. Its totient is φ = 43952040000000.

The previous prime is 122212212000917. The next prime is 122212212001003. The reversal of 122212212001000 is 100212212221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122212212001003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12111005955 + ... + 12111016045.

It is an arithmetic number, because the mean of its divisors is an integer number (827609295240).

Almost surely, 2^{122212212001000} is an apocalyptic number.

122212212001000 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 122212212001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158900984686080).

122212212001000 is an abundant number, since it is smaller than the sum of its proper divisors (195589757371160).

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

122212212001000 is a wasteful number, since it uses less digits than its factorization.

122212212001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11226 (or 11201 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122212212001000 its reverse (100212212221), we get a palindrome (122312424213221).

The spelling of 122212212001000 in words is "one hundred twenty-two trillion, two hundred twelve billion, two hundred twelve million, one thousand".