22121222212122 has 80 divisors (see below), whose sum is σ = 48842131337760. Its totient is φ = 6679193320800.

The previous prime is 22121222212121. The next prime is 22121222212223.

It is a happy number.

22121222212122 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 22121222212092 and 22121222212101.

It is not an unprimeable number, because it can be changed into a prime (22121222212121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23878797 + ... + 24787887.

It is an arithmetic number, because the mean of its divisors is an integer number (610526641722).

Almost surely, 2^{22121222212122} is an apocalyptic number.

22121222212122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121222212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24421065668880).

22121222212122 is an abundant number, since it is smaller than the sum of its proper divisors (26720909125638).

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

22121222212122 is an equidigital number, since it uses as much as digits as its factorization.

22121222212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909417 (or 909384 counting only the distinct ones).

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

It can be divided in two parts, 2212122 and 2212122, that added together give a palindrome (4424244).

The spelling of 22121222212122 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred twenty-two million, two hundred twelve thousand, one hundred twenty-two".