21122422112 has 72 divisors (see below), whose sum is σ = 45759394800. Its totient is φ = 9590493440.

The previous prime is 21122422109. The next prime is 21122422129.

It is a happy number.

21122422112 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4291589 + ... + 4296507.

It is an arithmetic number, because the mean of its divisors is an integer number (635547150).

Almost surely, 2^21122422112 is an apocalyptic number.

21122422112 is a gapful number since it is divisible by the number (22) 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 21122422112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22879697400).

21122422112 is an abundant number, since it is smaller than the sum of its proper divisors (24636972688).

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

21122422112 is a wasteful number, since it uses less digits than its factorization.

21122422112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6060 (or 6041 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The spelling of 21122422112 in words is "twenty-one billion, one hundred twenty-two million, four hundred twenty-two thousand, one hundred twelve".