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232122121221232 = 241121097448124391
BaseRepresentation
bin110100110001110100100100…
…100101000111010001110000
31010102212122202201210111000101
4310301310210211013101300
5220411042101013034412
62141403232543202144
766615161360535004
oct6461644445072160
91112778681714011
10232122121221232
1167a63491022200
122204a9a48a6354
139c6a039757938
144146ab07b8704
151bc8068156457
hexd31d24947470

232122121221232 has 120 divisors (see below), whose sum is σ = 494919925034976. Its totient is φ = 105386029056000.

The previous prime is 232122121221149. The next prime is 232122121221233.

232122121221232 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 232122121221232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232122121221233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9516699757 + ... + 9516724147.

Almost surely, 2232122121221232 is an apocalyptic number.

232122121221232 is a gapful number since it is divisible by the number (22) 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 232122121221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247459962517488).

232122121221232 is an abundant number, since it is smaller than the sum of its proper divisors (262797803813744).

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

232122121221232 is a wasteful number, since it uses less digits than its factorization.

232122121221232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29999 (or 29982 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The spelling of 232122121221232 in words is "two hundred thirty-two trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1097 1936 2194 4388 4481 8776 8962 12067 17552 17924 24134 24391 35848 48268 48782 49291 71696 96536 97564 98582 132737 193072 195128 197164 265474 268301 390256 394328 530948 536602 542201 788656 1061896 1073204 1084402 2123792 2146408 2168804 2951311 4292816 4337608 4915657 5902622 8675216 9831314 11805244 19662628 23610488 26756927 39325256 47220976 53513854 54072227 78650512 107027708 108144454 109296071 214055416 216288908 218592142 294326197 428110832 432577816 437184284 588652394 594794497 865155632 874368568 1177304788 1189588994 1202256781 1748737136 2354609576 2379177988 2404513562 3237588167 4709219152 4758355976 4809027124 6475176334 9516711952 9618054248 12950352668 13224824591 19236108496 25900705336 26449649182 51801410672 52899298364 105798596728 119897789887 211597193456 239795579774 479591159548 959182319096 1318875688757 1918364638192 2637751377514 5275502755028 10551005510056 14507632576327 21102011020112 29015265152654 58030530305308 116061060610616 232122121221232