22106433460122 has 96 divisors (see below), whose sum is σ = 52815218601600. Its totient is φ = 6626795535360.

The previous prime is 22106433460103. The next prime is 22106433460141.

22106433460122 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 6 + 43 + 3 + 4 + 601 + 2 + 2 = 666.

22106433460122 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (22106433460103) and next prime (22106433460141).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18530754 + ... + 19687602.

It is an arithmetic number, because the mean of its divisors is an integer number (550158527100).

Almost surely, 2^{22106433460122} is an apocalyptic number.

22106433460122 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 22106433460122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26407609300800).

22106433460122 is an abundant number, since it is smaller than the sum of its proper divisors (30708785141478).

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

22106433460122 is a wasteful number, since it uses less digits than its factorization.

22106433460122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157908 (or 1157905 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 2210643 and 3460122, that added together give a palindrome (5670765).

The spelling of 22106433460122 in words is "twenty-two trillion, one hundred six billion, four hundred thirty-three million, four hundred sixty thousand, one hundred twenty-two".