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12213123322032 = 24349721001563
BaseRepresentation
bin1011000110111001011011…
…1000001001000010110000
31121020120012120012121210000
42301232112320021002300
53100044434032301112
641550344214310000
72400240403242423
oct261562670110260
947216176177700
1012213123322032
1139896137a1096
121452b9a358300
136a79007cb769
1430319296b9ba
15162a585567dc
hexb1b96e090b0

12213123322032 has 150 divisors (see below), whose sum is σ = 35716530423948. Its totient is φ = 4029067588608.

The previous prime is 12213123321943. The next prime is 12213123322063. The reversal of 12213123322032 is 23022332131221.

12213123322032 is a `hidden beast` number, since 1 + 2 + 21 + 312 + 3 + 322 + 0 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12213123321987 and 12213123322005.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 11693283 + ... + 12694845.

Almost surely, 212213123322032 is an apocalyptic number.

12213123322032 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 12213123322032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17858265211974).

12213123322032 is an abundant number, since it is smaller than the sum of its proper divisors (23503407101916).

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

12213123322032 is an equidigital number, since it uses as much as digits as its factorization.

12213123322032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001777 (or 1001665 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12213123322032 its reverse (23022332131221), we get a palindrome (35235455453253).

The spelling of 12213123322032 in words is "twelve trillion, two hundred thirteen billion, one hundred twenty-three million, three hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 97 108 144 162 194 216 291 324 388 432 582 648 776 873 1164 1296 1552 1746 2328 2619 3492 4656 5238 6984 7857 9409 10476 13968 15714 18818 20952 28227 31428 37636 41904 56454 62856 75272 84681 112908 125712 150544 169362 225816 254043 338724 451632 508086 677448 762129 1001563 1016172 1354896 1524258 2003126 2032344 3004689 3048516 4006252 4064688 6009378 6097032 8012504 9014067 12018756 12194064 16025008 18028134 24037512 27042201 36056268 48075024 54084402 72112536 81126603 97151611 108168804 144225072 162253206 194303222 216337608 291454833 324506412 388606444 432675216 582909666 649012824 777212888 874364499 1165819332 1298025648 1554425776 1748728998 2331638664 2623093497 3497457996 4663277328 5246186994 6994915992 7869280491 9423706267 10492373988 13989831984 15738560982 18847412534 20984747976 28271118801 31477121964 37694825068 41969495952 56542237602 62954243928 75389650136 84813356403 113084475204 125908487856 150779300272 169626712806 226168950408 254440069209 339253425612 452337900816 508880138418 678506851224 763320207627 1017760276836 1357013702448 1526640415254 2035520553672 3053280830508 4071041107344 6106561661016 12213123322032