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12132422423121 = 37111337389280699
BaseRepresentation
bin1011000010001100110010…
…1110101001001001010001
31120221211220101020012020010
42300203030232221021101
53042234200120014441
641445320302105133
72361352511023650
oct260431456511121
946854811205203
1012132422423121
113958371191310
12143b41787b1a9
136a010c401380
142dd2d8aa3197
151608d3789116
hexb08ccba9251

12132422423121 has 128 divisors (see below), whose sum is σ = 22364020224000. Its totient is φ = 5645937116160.

The previous prime is 12132422422999. The next prime is 12132422423167.

12132422423121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12132422423121 - 27 = 12132422422993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12132422463121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43081830 + ... + 43362528.

It is an arithmetic number, because the mean of its divisors is an integer number (174718908000).

Almost surely, 212132422423121 is an apocalyptic number.

12132422423121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12132422423121 is a deficient number, since it is larger than the sum of its proper divisors (10231597800879).

12132422423121 is a wasteful number, since it uses less digits than its factorization.

12132422423121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281159.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 1213242 and 2423121, that added together give a palindrome (3636363).

The spelling of 12132422423121 in words is "twelve trillion, one hundred thirty-two billion, four hundred twenty-two million, four hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 389 407 429 481 777 1001 1167 1221 1443 2723 2849 3003 3367 4279 5057 5291 8169 8547 10101 12837 14393 15171 15873 29953 35399 37037 43179 55627 89859 100751 106197 111111 158323 166881 187109 280699 302253 389389 474969 561327 842097 1108261 1168167 1309763 1964893 2058199 3087689 3324783 3649087 3929289 5894679 6174597 9263067 10385863 10947261 14407393 21613823 25543609 31157589 40139957 43222179 64841469 72701041 76630827 109191911 114244493 120419871 135016219 218103123 280979699 327575733 342733479 405048657 764343377 799711451 842939097 945113533 1201111021 1419494843 1485178409 2293030131 2399134353 2835340599 3603333063 4040100707 4258484529 4455535227 8407777147 9936463901 10396248863 12120302121 15614443273 25223331441 28280704949 29809391703 31188746589 44441107777 46843329819 52521309191 84842114847 109301102911 133323323331 157563927573 311087754439 327903308733 367649164337 577734401101 933263263317 1102947493011 1733203203303 4044140807707 12132422423121