Search a number
-
+
12301220201232 = 243598357499103
BaseRepresentation
bin1011001100000001100111…
…0111000100001100010000
31121112222121012000202221210
42303000121313010030100
53103020344332414412
642055034052220120
72406506463331014
oct263003167041420
947488535022853
1012301220201232
113a12a11125376
12146808590a640
136b3000266851
1430754cbcc544
15164eb27aa83c
hexb3019dc4310

12301220201232 has 160 divisors (see below), whose sum is σ = 32715406080000. Its totient is φ = 3981213052416.

The previous prime is 12301220201203. The next prime is 12301220201233. The reversal of 12301220201232 is 23210202210321.

It is a junction number, because it is equal to n+sod(n) for n = 12301220201199 and 12301220201208.

It is not an unprimeable number, because it can be changed into a prime (12301220201233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1351332393 + ... + 1351341495.

It is an arithmetic number, because the mean of its divisors is an integer number (204471288000).

Almost surely, 212301220201232 is an apocalyptic number.

12301220201232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12301220201232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16357703040000).

12301220201232 is an abundant number, since it is smaller than the sum of its proper divisors (20414185878768).

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

12301220201232 is a wasteful number, since it uses less digits than its factorization.

12301220201232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15005 (or 14999 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12301220201232 its reverse (23210202210321), we get a palindrome (35511422411553).

The spelling of 12301220201232 in words is "twelve trillion, three hundred one billion, two hundred twenty million, two hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 83 118 166 177 236 249 332 354 472 498 664 708 944 996 1328 1416 1992 2832 3984 4897 5749 9103 9794 11498 14691 17247 18206 19588 22996 27309 29382 34494 36412 39176 45992 54618 58764 68988 72824 78352 91984 109236 117528 137976 145648 218472 235056 275952 339191 436944 477167 537077 678382 755549 954334 1017573 1074154 1356764 1431501 1511098 1611231 1908668 2035146 2148308 2266647 2713528 2863002 3022196 3222462 3817336 4070292 4296616 4533294 5427056 5726004 6044392 6444924 7634672 8140584 8593232 9066588 11452008 12088784 12889848 16281168 18133176 22904016 25779696 28152853 36266352 44577391 52333147 56305706 84458559 89154782 104666294 112611412 133732173 156999441 168917118 178309564 209332588 225222824 267464346 313998882 337834236 356619128 418665176 450445648 534928692 627997764 675668472 713238256 837330352 1069857384 1255995528 1351336944 2139714768 2511991056 3087655673 4343651201 6175311346 8687302402 9262967019 12350622692 13030953603 17374604804 18525934038 24701245384 26061907206 34749209608 37051868076 49402490768 52123814412 69498419216 74103736152 104247628824 148207472304 208495257648 256275420859 512550841718 768826262577 1025101683436 1537652525154 2050203366872 3075305050308 4100406733744 6150610100616 12301220201232