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12133222023222 = 23223299710418521
BaseRepresentation
bin1011000010001111110001…
…1000111000000000110110
31120221220222002211002100200
42300203330120320000312
53042242314314220342
641445531504221330
72361411360353406
oct260437430700066
946856862732320
1012133222023222
113958741579743
12143b5bb60a846
136a0208c74221
142dd372d66806
1516092da8294c
hexb08fc638036

12133222023222 has 96 divisors (see below), whose sum is σ = 28670105580480. Its totient is φ = 3696657592320.

The previous prime is 12133222023173. The next prime is 12133222023227. The reversal of 12133222023222 is 22232022233121.

12133222023222 is a `hidden beast` number, since 1 + 2 + 1 + 332 + 2 + 2 + 0 + 2 + 322 + 2 = 666.

It is a super-2 number, since 2×121332220232222 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133222023227) 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 47 ways as a sum of consecutive naturals, for example, 4044679 + ... + 6373842.

It is an arithmetic number, because the mean of its divisors is an integer number (298646933130).

Almost surely, 212133222023222 is an apocalyptic number.

12133222023222 is an abundant number, since it is smaller than the sum of its proper divisors (16536883557258).

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

12133222023222 is a wasteful number, since it uses less digits than its factorization.

12133222023222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10418678 (or 10418675 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12133222023222 its reverse (22232022233121), we get a palindrome (34365244256343).

The spelling of 12133222023222 in words is "twelve trillion, one hundred thirty-three billion, two hundred twenty-two million, twenty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 29 46 58 69 87 97 138 174 194 207 261 291 414 522 582 667 873 1334 1746 2001 2231 2813 4002 4462 5626 6003 6693 8439 12006 13386 16878 20079 25317 40158 50634 64699 129398 194097 388194 582291 1164582 10418521 20837042 31255563 62511126 93766689 187533378 239625983 302137109 479251966 604274218 718877949 906411327 1010596537 1437755898 1812822654 2021193074 2156633847 2719233981 3031789611 4313267694 5438467962 6063579222 6949153507 9095368833 13898307014 18190737666 20847460521 23243720351 29307299573 41694921042 46487440702 58614599146 62542381563 69731161053 87921898719 125084763126 139462322106 175843797438 209193483159 263765696157 418386966318 527531392314 674067890179 1348135780358 2022203670537 4044407341074 6066611011611 12133222023222