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12331122012 = 223211591393797
BaseRepresentation
bin10110111101111110…
…11111110101011100
31011211101011220100200
423132333133311130
5200223231401022
65355334423500
7614401544016
oct133677376534
934741156320
1012331122012
115258662530
122481801b90
13121693b201
1484d9b31b6
154c287abac
hex2defdfd5c

12331122012 has 144 divisors (see below), whose sum is σ = 34838294400. Its totient is φ = 3645982080.

The previous prime is 12331122007. The next prime is 12331122019. The reversal of 12331122012 is 21022113321.

12331122012 is a `hidden beast` number, since 123 + 311 + 220 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331122019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3245698 + ... + 3249494.

It is an arithmetic number, because the mean of its divisors is an integer number (241932600).

Almost surely, 212331122012 is an apocalyptic number.

12331122012 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 12331122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17419147200).

12331122012 is an abundant number, since it is smaller than the sum of its proper divisors (22507172388).

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

12331122012 is a wasteful number, since it uses less digits than its factorization.

12331122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4016 (or 4011 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12331122012 its reverse (21022113321), we get a palindrome (33353235333).

The spelling of 12331122012 in words is "twelve billion, three hundred thirty-one million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 59 66 99 118 132 139 177 198 236 278 354 396 417 531 556 649 708 834 1062 1251 1298 1529 1668 1947 2124 2502 2596 3058 3797 3894 4587 5004 5841 6116 7594 7788 8201 9174 11391 11682 13761 15188 16402 18348 22782 23364 24603 27522 32804 34173 41767 45564 49206 55044 68346 73809 83534 90211 98412 125301 136692 147618 167068 180422 224023 250602 270633 295236 360844 375903 448046 501204 527783 541266 672069 751806 811899 896092 1055566 1082532 1344138 1503612 1583349 1623798 2016207 2111132 2464253 2688276 3166698 3247596 4032414 4750047 4928506 5805613 6333396 7392759 8064828 9500094 9857012 11611226 14785518 17416839 19000188 22178277 23222452 29571036 31139197 34833678 44356554 52250517 62278394 69667356 88713108 93417591 104501034 124556788 186835182 209002068 280252773 342531167 373670364 560505546 685062334 1027593501 1121011092 1370124668 2055187002 3082780503 4110374004 6165561006 12331122012