123122212122 has 256 divisors, whose sum is σ = 332417433600. Its totient is φ = 29471662080.

The previous prime is 123122212121. The next prime is 123122212127. The reversal of 123122212122 is 221212221321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (123122212121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 109053654 + ... + 109054782.

It is an arithmetic number, because the mean of its divisors is an integer number (1298505600).

Almost surely, 2^123122212122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123122212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166208716800).

123122212122 is an abundant number, since it is smaller than the sum of its proper divisors (209295221478).

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

123122212122 is a wasteful number, since it uses less digits than its factorization.

123122212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581.

The product of its digits is 384, while the sum is 21.

Adding to 123122212122 its reverse (221212221321), we get a palindrome (344334433443).

The spelling of 123122212122 in words is "one hundred twenty-three billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twenty-two".