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21222022122112 = 277210133501121
BaseRepresentation
bin1001101001101001000110…
…00101110000101010000000
32210010210202012200022221111
410310310203011300222000
510240200200130401422
6113045132401133104
74320145330461400
oct464644305605200
983123665608844
1021222022122112
11684223325a449
122468b7832a194
13bac2c7197a16
14535219444800
1526c0780bea77
hex134d23170a80

21222022122112 has 96 divisors (see below), whose sum is σ = 49667758443540. Its totient is φ = 9005101056000.

The previous prime is 21222022122107. The next prime is 21222022122113. The reversal of 21222022122112 is 21122122022212.

It can be written as a sum of positive squares in 2 ways, for example, as 17242890831936 + 3979131290176 = 4152456^2 + 1994776^2 .

It is a super-2 number, since 2×212220221221122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21222022122113) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 16117089 + ... + 17384032.

Almost surely, 221222022122112 is an apocalyptic number.

It is an amenable number.

21222022122112 is an abundant number, since it is smaller than the sum of its proper divisors (28445736321428).

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

21222022122112 is a wasteful number, since it uses less digits than its factorization.

21222022122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33501250 (or 33501231 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 21222022122112 its reverse (21122122022212), we get a palindrome (42344144144324).

The spelling of 21222022122112 in words is "twenty-one trillion, two hundred twenty-two billion, twenty-two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 101 112 128 196 202 224 392 404 448 707 784 808 896 1414 1568 1616 2828 3136 3232 4949 5656 6272 6464 9898 11312 12928 19796 22624 39592 45248 79184 90496 158368 316736 633472 33501121 67002242 134004484 234507847 268008968 469015694 536017936 938031388 1072035872 1641554929 1876062776 2144071744 3283109858 3383613221 3752125552 4288143488 6566219716 6767226442 7504251104 13132439432 13534452884 15008502208 23685292547 26264878864 27068905768 30017004416 47370585094 52529757728 54137811536 94741170188 105059515456 108275623072 165797047829 189482340376 210119030912 216551246144 331594095658 378964680752 433102492288 663188191316 757929361504 1326376382632 1515858723008 2652752765264 3031717446016 5305505530528 10611011061056 21222022122112