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21220121122112 = 261179392397259
BaseRepresentation
bin1001101001100101100011…
…10010000001010101000000
32210010121211201121112012002
410310302301302001111000
510240132302001401422
6113044220012123132
74320050245315343
oct464626162012500
983117751545162
1021220121122112
116841448190a70
1224687277664a8
13bac0833a3c53
145350b8b9a45a
1526beb6265692
hex134cb1c81540

21220121122112 has 112 divisors (see below), whose sum is σ = 46530553420800. Its totient is φ = 9520889064960.

The previous prime is 21220121122093. The next prime is 21220121122127. The reversal of 21220121122112 is 21122112102212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218132939 + ... + 218230197.

Almost surely, 221220121122112 is an apocalyptic number.

21220121122112 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 21220121122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23265276710400).

21220121122112 is an abundant number, since it is smaller than the sum of its proper divisors (25310432298688).

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

21220121122112 is a wasteful number, since it uses less digits than its factorization.

21220121122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101284 (or 101274 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 21220121122112 its reverse (21122112102212), we get a palindrome (42342233224324).

The spelling of 21220121122112 in words is "twenty-one trillion, two hundred twenty billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 158 176 316 352 632 704 869 1264 1738 2528 3476 3923 5056 6952 7846 13904 15692 27808 31384 43153 55616 62768 86306 97259 125536 172612 194518 251072 309917 345224 389036 619834 690448 778072 1069849 1239668 1380896 1556144 2139698 2479336 2761792 3112288 3409087 4279396 4958672 6224576 6818174 7683461 8558792 9917344 13636348 15366922 17117584 19834688 27272696 30733844 34235168 54545392 61467688 68470336 84518071 109090784 122935376 169036142 218181568 245870752 338072284 381547057 491741504 676144568 763094114 1352289136 1526188228 2704578272 3052376456 4197017627 5409156544 6104752912 8394035254 12209505824 16788070508 24419011648 30142217503 33576141016 60284435006 67152282032 120568870012 134304564064 241137740024 268609128128 331564392533 482275480048 663128785066 964550960096 1326257570132 1929101920192 2652515140264 5305030280528 10610060561056 21220121122112