21222122122212 has 192 divisors, whose sum is σ = 58324782716928. Its totient is φ = 5934539520000.

The previous prime is 21222122122199. The next prime is 21222122122217.

It is a happy number.

21222122122212 is nontrivially palindromic in base 10.

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 (21222122122217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22889787 + ... + 23798877.

It is an arithmetic number, because the mean of its divisors is an integer number (303774909984).

Almost surely, 2^{21222122122212} is an apocalyptic number.

21222122122212 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 21222122122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29162391358464).

21222122122212 is an abundant number, since it is smaller than the sum of its proper divisors (37102660594716).

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

21222122122212 is a wasteful number, since it uses less digits than its factorization.

21222122122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909330 (or 909328 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

It can be divided in two parts, 2122212 and 2122212, that added together give a palindrome (4244424).

The spelling of 21222122122212 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred twelve".