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11222022121112 = 23112101533321523
BaseRepresentation
bin1010001101001101010010…
…1001000110011010011000
31110201211000000110000202002
42203103110221012122120
52432330200130333422
635511154212100132
72235523112111135
oct243232451063230
943654000400662
1011222022121112
113637261a25700
121312aa0604648
1363530303bc0a
142ab21231558c
15146d9d17b692
hexa34d4a46698

11222022121112 has 96 divisors (see below), whose sum is σ = 23362486665840. Its totient is φ = 5049233376000.

The previous prime is 11222022121109. The next prime is 11222022121139. The reversal of 11222022121112 is 21112122022211.

It is a super-2 number, since 2×112220221211122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 521385983 + ... + 521407505.

Almost surely, 211222022121112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11222022121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11681243332920).

11222022121112 is an abundant number, since it is smaller than the sum of its proper divisors (12140464544728).

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

11222022121112 is a wasteful number, since it uses less digits than its factorization.

11222022121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26985 (or 26970 counting only the distinct ones).

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

Adding to 11222022121112 its reverse (21112122022211), we get a palindrome (32334144143323).

The spelling of 11222022121112 in words is "eleven trillion, two hundred twenty-two billion, twenty-two million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 101 121 202 242 404 484 808 968 1111 2222 4444 5333 8888 10666 12221 21332 21523 24442 42664 43046 48884 58663 86092 97768 117326 172184 234652 236753 469304 473506 538633 645293 947012 1077266 1290586 1894024 2154532 2173823 2581172 2604283 4309064 4347646 5162344 5208566 5924963 8695292 10417132 11849926 17390584 20834264 23699852 23912053 47399704 47824106 65174593 95648212 114782159 130349186 191296424 229564318 260698372 263032583 459128636 521396744 526065166 918257272 1052130332 1262603749 2104260664 2525207498 5050414996 10100829992 11592998059 13888641239 23185996118 27777282478 46371992236 55554564956 92743984472 111109129912 127522978649 255045957298 510091914596 1020183829192 1402752765139 2805505530278 5611011060556 11222022121112