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12244202124 = 223721110118743
BaseRepresentation
bin10110110011100111…
…11011001010001100
31011121022121220200120
423121303323022030
5200034003431444
65342551424540
7612265000200
oct133163731214
934538556616
1012244202124
115213595310
122458685150
13120192721b
14842228b00
154b9e0bb19
hex2d9cfb28c

12244202124 has 144 divisors (see below), whose sum is σ = 36616478976. Its totient is φ = 3148656000.

The previous prime is 12244202083. The next prime is 12244202137. The reversal of 12244202124 is 42120244221.

It is a happy number.

It is a super-2 number, since 2×122442021242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12244202094 and 12244202103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 643897 + ... + 662639.

It is an arithmetic number, because the mean of its divisors is an integer number (254281104).

Almost surely, 212244202124 is an apocalyptic number.

12244202124 is a gapful number since it is divisible by the number (14) 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 12244202124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18308239488).

12244202124 is an abundant number, since it is smaller than the sum of its proper divisors (24372276852).

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

12244202124 is a wasteful number, since it uses less digits than its factorization.

12244202124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18876 (or 18867 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 12244202124 its reverse (42120244221), we get a palindrome (54364446345).

The spelling of 12244202124 in words is "twelve billion, two hundred forty-four million, two hundred two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 101 132 147 154 196 202 231 294 303 308 404 462 539 588 606 707 924 1078 1111 1212 1414 1617 2121 2156 2222 2828 3234 3333 4242 4444 4949 6468 6666 7777 8484 9898 13332 14847 15554 18743 19796 23331 29694 31108 37486 46662 54439 56229 59388 74972 93324 108878 112458 131201 163317 206173 217756 224916 262402 326634 393603 412346 524804 618519 653268 787206 824692 918407 1237038 1443211 1574412 1836814 1893043 2474076 2755221 2886422 3673628 3786086 4329633 5510442 5679129 5772844 7572172 8659266 10102477 11020884 11358258 13251301 17318532 20204954 20823473 22716516 26502602 30307431 39753903 40409908 41646946 53005204 60614862 62470419 79507806 83293892 92759107 121229724 124940838 145764311 159015612 185518214 249881676 278277321 291528622 371036428 437292933 556554642 583057244 874585866 1020350177 1113109284 1749171732 2040700354 3061050531 4081400708 6122101062 12244202124