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12332211432420 = 223511181103232977
BaseRepresentation
bin1011001101110101000100…
…0101001110101111100100
31121122221121000111102220010
42303131101011032233210
53104022332111314140
642121201214010220
72411654460416505
oct263352105165744
947587530442803
1012332211432420
113a25074943030
1214720947a6970
136b5bcbab8779
14308c4cb40bac
15165bc8432880
hexb375114ebe4

12332211432420 has 96 divisors (see below), whose sum is σ = 37877418423936. Its totient is φ = 2973109708800.

The previous prime is 12332211432379. The next prime is 12332211432451. The reversal of 12332211432420 is 2423411223321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51497029 + ... + 51735948.

It is an arithmetic number, because the mean of its divisors is an integer number (394556441916).

Almost surely, 212332211432420 is an apocalyptic number.

12332211432420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12332211432420 is an abundant number, since it is smaller than the sum of its proper divisors (25545206991516).

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

12332211432420 is a wasteful number, since it uses less digits than its factorization.

12332211432420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103233181 (or 103233179 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 12332211432420 its reverse (2423411223321), we get a palindrome (14755622655741).

The spelling of 12332211432420 in words is "twelve trillion, three hundred thirty-two billion, two hundred eleven million, four hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 181 220 330 362 543 660 724 905 1086 1810 1991 2172 2715 3620 3982 5430 5973 7964 9955 10860 11946 19910 23892 29865 39820 59730 119460 103232977 206465954 309698931 412931908 516164885 619397862 1032329770 1135562747 1238795724 1548494655 2064659540 2271125494 3096989310 3406688241 4542250988 5677813735 6193978620 6813376482 11355627470 13626752964 17033441205 18685168837 22711254940 34066882410 37370337674 56055506511 68133764820 74740675348 93425844185 112111013022 186851688370 205536857207 224222026044 280277532555 373703376740 411073714414 560555065110 616610571621 822147428828 1027684286035 1121110130220 1233221143242 2055368572070 2466442286484 3083052858105 4110737144140 6166105716210 12332211432420