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22010221201122 = 232721141531139239
BaseRepresentation
bin1010000000100101001110…
…11010101000011011100010
32212221011020011022011122100
411000102213122220123202
510341103413111413442
6114451204522551230
74431120541220100
oct500224732503342
985834204264570
1022010221201122
117016534076580
12257588a668516
13c3872a3038bb
1456142c3b0c70
1528280a36784c
hex1404a76a86e2

22010221201122 has 576 divisors, whose sum is σ = 63729510324480. Its totient is φ = 5423252889600.

The previous prime is 22010221201103. The next prime is 22010221201123. The reversal of 22010221201122 is 22110212201022.

It is a happy number.

22010221201122 is a `hidden beast` number, since 220 + 1 + 0 + 221 + 201 + 1 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22010221201095 and 22010221201104.

It is not an unprimeable number, because it can be changed into a prime (22010221201123) 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 287 ways as a sum of consecutive naturals, for example, 2382311779 + ... + 2382321017.

It is an arithmetic number, because the mean of its divisors is an integer number (110641510980).

Almost surely, 222010221201122 is an apocalyptic number.

22010221201122 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 22010221201122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31864755162240).

22010221201122 is an abundant number, since it is smaller than the sum of its proper divisors (41719289123358).

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

22010221201122 is a wasteful number, since it uses less digits than its factorization.

22010221201122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9479 (or 9469 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22010221201122 its reverse (22110212201022), we get a palindrome (44120433402144).

The spelling of 22010221201122 in words is "twenty-two trillion, ten billion, two hundred twenty-one million, two hundred one thousand, one hundred twenty-two".