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11212212001122 = 2321116323895479
BaseRepresentation
bin1010001100101000101111…
…1010011101100101100010
31110200212200022222022000200
42203022023322131211202
52432200102233013442
635502452531130030
72235025031344206
oct243121372354542
943625608868020
1011212212001122
113633088411320
121311003143916
136343cb7a46a2
142aa96149cb06
151469c6cc934c
hexa328be9d962

11212212001122 has 144 divisors (see below), whose sum is σ = 26738603236800. Its totient is φ = 3367500143040.

The previous prime is 11212212001099. The next prime is 11212212001127. The reversal of 11212212001122 is 22110021221211.

11212212001122 is a `hidden beast` number, since 1 + 121 + 221 + 200 + 1 + 122 = 666.

11212212001122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11212212001095 and 11212212001104.

It is not an unprimeable number, because it can be changed into a prime (11212212001127) 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, 2046394779 + ... + 2046400257.

It is an arithmetic number, because the mean of its divisors is an integer number (185684744700).

Almost surely, 211212212001122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212212001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13369301618400).

11212212001122 is an abundant number, since it is smaller than the sum of its proper divisors (15526391235678).

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

11212212001122 is a wasteful number, since it uses less digits than its factorization.

11212212001122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6213 (or 6047 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11212212001122 its reverse (22110021221211), we get a palindrome (33322233222333).

The spelling of 11212212001122 in words is "eleven trillion, two hundred twelve billion, two hundred twelve million, one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 163 198 326 389 489 778 978 1167 1467 1793 2334 2934 3501 3586 4279 5379 5479 7002 8558 10758 10958 12837 16137 16437 25674 26569 32274 32874 38511 49311 53138 60269 63407 77022 79707 98622 120538 126814 159414 180807 190221 239121 292259 361614 380442 478242 542421 570663 584518 697477 876777 893077 1084842 1141326 1394954 1753554 1786154 2092431 2131331 2630331 2679231 4184862 4262662 5260662 5358462 6277293 6393993 8037693 9823847 10335341 12554586 12787986 16075386 19181979 19647694 20670682 23444641 29471541 31006023 38363958 46889282 58943082 62012046 70333923 88414623 93018069 113688751 140667846 145571551 176829246 186036138 211001769 227377502 291143102 341066253 347406953 422003538 436714653 682132506 694813906 873429306 1023198759 1042220859 1310143959 1601287061 2046397518 2084441718 2620287918 3126662577 3202574122 3821476483 4803861183 6253325154 7642952966 9607722366 11464429449 14411583549 22928858898 28823167098 34393288347 56627333339 68786576694 113254666678 169882000017 339764000034 509646000051 622900666729 1019292000102 1245801333458 1868702000187 3737404000374 5606106000561 11212212001122