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12232123222112 = 2541471011964033
BaseRepresentation
bin1011001000000000001101…
…0111000000100001100000
31121022101020200212112211222
42302000003113000201200
53100402342021101422
642003205420154212
72401512262601213
oct262000327004140
947271220775758
1012232123222112
113996683739252
121456801398968
136a963ac328a1
143040760bb77a
151632bb5c1842
hexb20035c0860

12232123222112 has 96 divisors (see below), whose sum is σ = 25443699087744. Its totient is φ = 5782110208000.

The previous prime is 12232123222079. The next prime is 12232123222129. The reversal of 12232123222112 is 21122232123221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5246048 + ... + 7210080.

It is an arithmetic number, because the mean of its divisors is an integer number (265038532164).

Almost surely, 212232123222112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12232123222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12721849543872).

12232123222112 is an abundant number, since it is smaller than the sum of its proper divisors (13211575865632).

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

12232123222112 is a wasteful number, since it uses less digits than its factorization.

12232123222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964232 (or 1964224 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

Adding to 12232123222112 its reverse (21122232123221), we get a palindrome (33354355345333).

The spelling of 12232123222112 in words is "twelve trillion, two hundred thirty-two billion, one hundred twenty-three million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 47 82 94 101 164 188 202 328 376 404 656 752 808 1312 1504 1616 1927 3232 3854 4141 4747 7708 8282 9494 15416 16564 18988 30832 33128 37976 61664 66256 75952 132512 151904 194627 389254 778508 1557016 1964033 3114032 3928066 6228064 7856132 15712264 31424528 62849056 80525353 92309551 161050706 184619102 198367333 322101412 369238204 396734666 644202824 738476408 793469332 1288405648 1476952816 1586938664 2576811296 2953905632 3173877328 3784691591 6347754656 7569383182 8133060653 9323264651 15138766364 16266121306 18646529302 30277532728 32532242612 37293058604 60555065456 65064485224 74586117208 121110130912 130128970448 149172234416 260257940896 298344468832 382253850691 764507701382 1529015402764 3058030805528 6116061611056 12232123222112