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12122303244021 = 341741291773609
BaseRepresentation
bin1011000001100111000110…
…0101000010011011110101
31120220212210011012122010000
42300121301211002123311
53042102434112302041
641440524221021513
72360543655310035
oct260316145023365
946825704178100
1012122303244021
113954049176283
1214394729b4899
1369c188b16829
142dca18b998c5
151604e01d8bb6
hexb06719426f5

12122303244021 has 80 divisors (see below), whose sum is σ = 19648494114480. Its totient is φ = 7417990471680.

The previous prime is 12122303244011. The next prime is 12122303244049. The reversal of 12122303244021 is 12044230322121.

12122303244021 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 230 + 3 + 24 + 402 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 104225019921 + 12018078224100 = 322839^2 + 3466710^2 .

It is not a de Polignac number, because 12122303244021 - 219 = 12122302719733 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122303244011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 164648265 + ... + 164721873.

It is an arithmetic number, because the mean of its divisors is an integer number (245606176431).

Almost surely, 212122303244021 is an apocalyptic number.

It is an amenable number.

12122303244021 is a deficient number, since it is larger than the sum of its proper divisors (7526190870459).

12122303244021 is a wasteful number, since it uses less digits than its factorization.

12122303244021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76596 (or 76587 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12122303244021 its reverse (12044230322121), we get a palindrome (24166533566142).

The spelling of 12122303244021 in words is "twelve trillion, one hundred twenty-two billion, three hundred three million, two hundred forty-four thousand, twenty-one".

Divisors: 1 3 9 17 27 41 51 81 123 153 369 459 697 1107 1377 2091 2917 3321 6273 8751 18819 26253 49589 56457 73609 78759 119597 148767 220827 236277 358791 446301 662481 1076373 1251353 1338903 1987443 2033149 3017969 3229119 3754059 4016709 5962329 6099447 9053907 9687357 11262177 18298341 27161721 33786531 51305473 54895023 81485163 101359593 153916419 164685069 214717453 244455489 461749257 644152359 1385247771 1932457077 3650196701 4155743313 5797371231 8803415573 10950590103 17392113693 26410246719 32851770309 79230740157 98555310927 149658064741 237692220471 295665932781 448974194223 713076661413 1346922582669 4040767748007 12122303244021