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211212201222 = 232112612336823
BaseRepresentation
bin1100010010110100111…
…0100110110100000110
3202012011202000112002100
43010231032212310012
511430030310414342
6241010214252530
721155015042211
oct3045516466406
9665152015070
10211212201222
1181635865a00
1234b26657146
1316bc01b3579
14a31922c778
15576297ce4c
hex312d3a6d06

211212201222 has 144 divisors (see below), whose sum is σ = 513526444704. Its totient is φ = 62675078400.

The previous prime is 211212201139. The next prime is 211212201229. The reversal of 211212201222 is 222102212112.

It is a happy number.

211212201222 is a `hidden beast` number, since 211 + 212 + 20 + 1 + 222 = 666.

It is a super-2 number, since 2×2112122012222 (a number of 23 digits) contains 22 as substring.

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 = 211212201195 and 211212201204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211212201229) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30952503 + ... + 30959325.

It is an arithmetic number, because the mean of its divisors is an integer number (3566155866).

Almost surely, 2211212201222 is an apocalyptic number.

211212201222 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 211212201222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256763222352).

211212201222 is an abundant number, since it is smaller than the sum of its proper divisors (302314243482).

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

211212201222 is a wasteful number, since it uses less digits than its factorization.

211212201222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7147 (or 7133 counting only the distinct ones).

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

Adding to 211212201222 its reverse (222102212112), we get a palindrome (433314413334).

The spelling of 211212201222 in words is "two hundred eleven billion, two hundred twelve million, two hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 121 122 183 198 233 242 363 366 466 549 671 699 726 1089 1098 1342 1398 2013 2097 2178 2563 4026 4194 5126 6039 6823 7381 7689 12078 13646 14213 14762 15378 20469 22143 23067 28193 28426 40938 42639 44286 46134 56386 61407 66429 75053 84579 85278 122814 127917 132858 150106 156343 169158 225159 253737 255834 312686 416203 450318 469029 507474 675477 825583 832406 938058 1248609 1350954 1407087 1589759 1651166 1719773 2476749 2497218 2814174 3179518 3439546 3745827 4578233 4769277 4953498 5159319 7430247 7491654 9156466 9538554 10318638 13734699 14307831 14860494 15477957 17487349 27469398 28615662 30955914 34974698 41204097 50360563 52462047 82408194 96975299 100721126 104924094 151081689 157386141 192360839 193950598 290925897 302163378 314772282 384721678 453245067 577082517 581851794 872777691 906490134 1066728289 1154165034 1731247551 1745555382 2133456578 3200184867 3462495102 6400369734 9600554601 11734011179 19201109202 23468022358 35202033537 70404067074 105606100611 211212201222