122211103000 has 128 divisors (see below), whose sum is σ = 328075038720. Its totient is φ = 41741001600.

The previous prime is 122211102997. The next prime is 122211103009. The reversal of 122211103000 is 301112221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122211103009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1807809 + ... + 1874191.

It is an arithmetic number, because the mean of its divisors is an integer number (2563086240).

Almost surely, 2^122211103000 is an apocalyptic number.

122211103000 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 122211103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164037519360).

122211103000 is an abundant number, since it is smaller than the sum of its proper divisors (205863935720).

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

122211103000 is a wasteful number, since it uses less digits than its factorization.

122211103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66674 (or 66660 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 122211103000 its reverse (301112221), we get a palindrome (122512215221).

The spelling of 122211103000 in words is "one hundred twenty-two billion, two hundred eleven million, one hundred three thousand".