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12210312020121 = 341959543724733
BaseRepresentation
bin1011000110101110111101…
…0011111000000010011001
31121020021221122020200120000
42301223233103320002121
53100023204334120441
641545201230323213
72400110625463065
oct261535723700231
947207848220500
1012210312020121
1139884008a4386
121452534959509
136a75732451c7
14302da7444aa5
151629418382b6
hexb1aef4f8099

12210312020121 has 80 divisors (see below), whose sum is σ = 19529907038400. Its totient is φ = 7579367137152.

The previous prime is 12210312020111. The next prime is 12210312020147. The reversal of 12210312020121 is 12102021301221.

12210312020121 is a `hidden beast` number, since 1 + 2 + 210 + 312 + 0 + 20 + 121 = 666.

It is not a de Polignac number, because 12210312020121 - 25 = 12210312020089 is a prime.

It is a super-2 number, since 2×122103120201212 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12210312020094 and 12210312020103.

It is not an unprimeable number, because it can be changed into a prime (12210312020111) 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 79 ways as a sum of consecutive naturals, for example, 493672671 + ... + 493697403.

It is an arithmetic number, because the mean of its divisors is an integer number (244123837980).

Almost surely, 212210312020121 is an apocalyptic number.

It is an amenable number.

12210312020121 is a deficient number, since it is larger than the sum of its proper divisors (7319595018279).

12210312020121 is a wasteful number, since it uses less digits than its factorization.

12210312020121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30260 (or 30251 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12210312020121 its reverse (12102021301221), we get a palindrome (24312333321342).

The spelling of 12210312020121 in words is "twelve trillion, two hundred ten billion, three hundred twelve million, twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 19 27 57 59 81 171 177 513 531 1121 1539 1593 3363 4779 5437 10089 16311 24733 30267 48933 74199 90801 103303 146799 222597 309909 320783 440397 469927 667791 929727 962349 1409781 1459247 2003373 2789181 2887047 4229343 4377741 6094877 8367543 8661141 12688029 13133223 18284631 25983423 27725693 38064087 39399669 54853893 83177079 118199007 134473321 164561679 249531237 403419963 493685037 748593711 1210259889 2245781133 2554993099 3630779667 7664979297 7933925939 10892339001 22994937891 23801777817 68984813673 71405333451 150744592841 206954441019 214216000353 452233778523 642648001059 1356701335569 4070104006707 12210312020121