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21022122012122 = 271116324113012671
BaseRepresentation
bin1001100011110100110000…
…00111010110110111011010
32202102200202211100120210002
410301322120013112313122
510223411301213341442
6112413232440053002
74266540531541040
oct461723007266732
982380684316702
1021022122012122
116775482915080
12243628a164162
13b964ba78127a
14529694726390
15266c787cc732
hex131e981d6dda

21022122012122 has 128 divisors (see below), whose sum is σ = 39764830887936. Its totient is φ = 8097148800000.

The previous prime is 21022122012121. The next prime is 21022122012127. The reversal of 21022122012122 is 22121022122012.

It is a super-2 number, since 2×210221220121222 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21022122012094 and 21022122012103.

It is not an unprimeable number, because it can be changed into a prime (21022122012121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7870504847 + ... + 7870507517.

It is an arithmetic number, because the mean of its divisors is an integer number (310662741312).

Almost surely, 221022122012122 is an apocalyptic number.

21022122012122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21022122012122 is a deficient number, since it is larger than the sum of its proper divisors (18742708875814).

21022122012122 is a wasteful number, since it uses less digits than its factorization.

21022122012122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 21022122012122 its reverse (22121022122012), we get a palindrome (43143144134134).

The spelling of 21022122012122 in words is "twenty-one trillion, twenty-two billion, one hundred twenty-two million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 7 11 14 22 77 154 163 241 326 482 1141 1301 1687 1793 2282 2602 2651 2671 3374 3586 5302 5342 9107 12551 14311 18214 18557 18697 25102 28622 29381 37114 37394 39283 58762 78566 100177 200354 205667 212063 274981 313541 411334 424126 432113 435373 549962 627082 643711 864226 870746 1287422 1484441 2194787 2332693 2968882 3024791 3047611 3448951 3474971 4389574 4505977 4665386 4789103 6049582 6095222 6897902 6949942 7080821 9011954 9578206 14161642 16328851 24142657 24324797 32657702 33523721 38224681 48285314 48649594 49565747 51107183 67047442 76449362 99131494 102214366 104924893 209849786 267572767 357750281 535145534 562179013 566420273 715500562 734474251 837468011 1124358026 1132840546 1154173823 1468948502 1674936022 2308347646 3935253091 3964941911 5862276077 6230623003 7870506182 7929883822 8079216761 9212148121 11724552154 12461246006 16158433522 18424296242 43614361021 64485036847 87228722042 128970073694 136507285793 273014571586 955551000551 1501580143723 1911102001102 3003160287446 10511061006061 21022122012122