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12211021020121 = 7112961712335419
BaseRepresentation
bin1011000110110001100110…
…0100011111101111011001
31121020100210001100121201021
42301230121210133233121
53100031132340120441
641545355434522441
72400134325050350
oct261543144375731
947210701317637
1012211021020121
1139887350305a0
1214526b2296421
136a76570b5c31
14303033682997
15162983bd73d1
hexb1b1991fbd9

12211021020121 has 128 divisors (see below), whose sum is σ = 16305413529600. Its totient is φ = 8869222656000.

The previous prime is 12211021020109. The next prime is 12211021020137. The reversal of 12211021020121 is 12102012011221.

It is not a de Polignac number, because 12211021020121 - 29 = 12211021019609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12211021020095 and 12211021020104.

It is not an unprimeable number, because it can be changed into a prime (12211021020181) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2253368950 + ... + 2253374368.

It is an arithmetic number, because the mean of its divisors is an integer number (127386043200).

Almost surely, 212211021020121 is an apocalyptic number.

12211021020121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211021020121 is a deficient number, since it is larger than the sum of its proper divisors (4094392509479).

12211021020121 is a wasteful number, since it uses less digits than its factorization.

12211021020121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5831.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12211021020121 its reverse (12102012011221), we get a palindrome (24313033031342).

The spelling of 12211021020121 in words is "twelve trillion, two hundred eleven billion, twenty-one million, twenty thousand, one hundred twenty-one".

Divisors: 1 7 11 29 61 71 77 203 233 319 427 497 671 781 1631 1769 2059 2233 2563 4331 4697 5419 5467 6757 12383 14213 14413 16543 17941 19459 22649 30317 37933 47299 47641 59609 74327 99491 115801 125599 136213 156343 157151 158543 181973 330559 333487 384749 412177 417263 479747 520289 879193 1009123 1094401 1100057 1262627 1273811 1381589 1728661 2313913 2693243 2885239 3358229 3636149 4232239 4533947 5277217 7063861 8838389 9586211 9671123 11100353 11157721 12100627 13888897 23469689 25453043 29264567 29625673 31737629 36616183 36940519 67103477 77020247 77702471 78104047 89646517 97222279 105448321 122734931 164287823 204851969 256313281 258166579 321910237 402778013 539141729 627525619 680620981 738138247 847222717 859144517 986111687 1807166053 2233587163 2253371659 2599748993 2819446091 4764346867 5468437537 5930559019 6902781809 7486830791 15635110141 18198242951 24569458793 28597238923 38279062759 52407815537 60152812907 158584688573 171986211551 200180672461 421069690349 1110092820011 1744431574303 12211021020121