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12321210564234 = 23211132973796031
BaseRepresentation
bin1011001101001100000101…
…1000001111111010001010
31121121220012100102102201200
42303103001120033322022
53103332314401023414
642112141435125030
72411115040526505
oct263230130177212
947556170372650
1012321210564234
113a2043a171a30
12146bb245a3776
136b4b67948c00
143084c7ac613c
15165782771109
hexb34c160fe8a

12321210564234 has 144 divisors (see below), whose sum is σ = 31860521731584. Its totient is φ = 3410960716800.

The previous prime is 12321210564227. The next prime is 12321210564263. The reversal of 12321210564234 is 43246501212321.

It is a happy number.

12321210564234 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 1 + 2 + 1 + 0 + 5 + 642 + 3 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1347799 + ... + 5143829.

It is an arithmetic number, because the mean of its divisors is an integer number (221253623136).

Almost surely, 212321210564234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12321210564234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15930260865792).

12321210564234 is an abundant number, since it is smaller than the sum of its proper divisors (19539311167350).

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

12321210564234 is a wasteful number, since it uses less digits than its factorization.

12321210564234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796173 (or 3796157 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 12321210564234 its reverse (43246501212321), we get a palindrome (55567711776555).

The spelling of 12321210564234 in words is "twelve trillion, three hundred twenty-one billion, two hundred ten million, five hundred sixty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 97 99 117 143 169 194 198 234 286 291 338 429 507 582 858 873 1014 1067 1261 1287 1521 1746 1859 2134 2522 2574 3042 3201 3718 3783 5577 6402 7566 9603 11154 11349 13871 16393 16731 19206 22698 27742 32786 33462 41613 49179 83226 98358 124839 147537 180323 249678 295074 360646 540969 1081938 1622907 3245814 3796031 7592062 11388093 22776186 34164279 41756341 49348403 68328558 83512682 98696806 125269023 148045209 250538046 296090418 368215007 375807069 444135627 542832433 641529239 736430014 751614138 888271254 1085664866 1104645021 1283058478 1628497299 1924587717 2209290042 3256994598 3313935063 3849175434 4050365077 4786795091 4885491897 5773763151 6627870126 7056821629 8100730154 9573590182 9770983794 11547526302 12151095231 14113643258 14360385273 21170464887 24302190462 28720770546 36453285693 42340929774 43081155819 52654746001 62228336183 63511394661 72906571386 86162311638 105309492002 124456672366 127022789322 157964238003 186685008549 315928476006 373370017098 473892714009 560055025647 684511698013 947785428018 1120110051294 1369023396026 2053535094039 4107070188078 6160605282117 12321210564234