22154433445122 has 96 divisors (see below), whose sum is σ = 49112664394752. Its totient is φ = 6657235200000.

The previous prime is 22154433445097. The next prime is 22154433445129.

22154433445122 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (22154433445129) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 43705122 + ... + 44209122.

It is an arithmetic number, because the mean of its divisors is an integer number (511590254112).

Almost surely, 2^{22154433445122} is an apocalyptic number.

22154433445122 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 22154433445122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24556332197376).

22154433445122 is an abundant number, since it is smaller than the sum of its proper divisors (26958230949630).

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

22154433445122 is a wasteful number, since it uses less digits than its factorization.

22154433445122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504536 (or 504525 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

The spelling of 22154433445122 in words is "twenty-two trillion, one hundred fifty-four billion, four hundred thirty-three million, four hundred forty-five thousand, one hundred twenty-two".