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1212212002122 = 2321147859151643
BaseRepresentation
bin10001101000111101011…
…101110011110101001010
311021212221010202002120100
4101220331131303311022
5124330102233031442
62324514342110230
7153402513002532
oct21507535636512
94255833662510
101212212002122
11428107089030
12176b2741b376
138a407649774
14429583704c2
15217ebd8684c
hex11a3d773d4a

1212212002122 has 96 divisors (see below), whose sum is σ = 2929616501760. Its totient is φ = 359100387360.

The previous prime is 1212212002121. The next prime is 1212212002153. The reversal of 1212212002122 is 2212002122121.

It is a happy number.

1212212002122 is a `hidden beast` number, since 121 + 221 + 200 + 2 + 122 = 666.

It is a super-3 number, since 3×12122120021223 (a number of 37 digits) contains 333 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 = 1212212002095 and 1212212002104.

It is not an unprimeable number, because it can be changed into a prime (1212212002121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7918033 + ... + 8069675.

It is an arithmetic number, because the mean of its divisors is an integer number (30516838560).

Almost surely, 21212212002122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212212002122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464808250880).

1212212002122 is an abundant number, since it is smaller than the sum of its proper divisors (1717404499638).

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

1212212002122 is a wasteful number, since it uses less digits than its factorization.

1212212002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152568 (or 152565 counting only the distinct ones).

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

Adding to 1212212002122 its reverse (2212002122121), we get a palindrome (3424214124243).

It can be divided in two parts, 121 and 2212002122, that multiplied together give a palindrome (267652256762).

The spelling of 1212212002122 in words is "one trillion, two hundred twelve billion, two hundred twelve million, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 198 282 423 517 846 859 1034 1551 1718 2577 3102 4653 5154 7731 9306 9449 15462 18898 28347 40373 56694 80746 85041 121119 151643 170082 242238 303286 363357 444103 454929 726714 888206 909858 1332309 1364787 1668073 2664618 2729574 3336146 3996927 5004219 7127221 7993854 10008438 14254442 15012657 21381663 30025314 42763326 64144989 78399431 128289978 130261337 156798862 235198293 260522674 390784011 470396586 705594879 781568022 1172352033 1411189758 1432874707 2344704066 2865749414 4298624121 6122282839 8597248242 12244565678 12895872363 18366848517 25791744726 36733697034 55100545551 67345111229 110201091102 134690222458 202035333687 404070667374 606106001061 1212212002122