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12244211412444 = 22331129212255143
BaseRepresentation
bin1011001000101101001111…
…0111110010110111011100
31121100112110010221020121000
42302023103313302313130
53101102121110144234
642012525120110300
72402420654532504
oct262132367626734
947315403836530
1012244211412444
1139a08171555a0
121459015765390
136aa81643472b
143048a16d4a04
15163777962899
hexb22d3df2ddc

12244211412444 has 144 divisors (see below), whose sum is σ = 35865414224640. Its totient is φ = 3582423109440.

The previous prime is 12244211412319. The next prime is 12244211412493. The reversal of 12244211412444 is 44421411244221.

12244211412444 is a `hidden beast` number, since 1 + 2 + 24 + 4 + 211 + 412 + 4 + 4 + 4 = 666.

It is a super-2 number, since 2×122442114124442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12244211412399 and 12244211412408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5128464 + ... + 7126679.

It is an arithmetic number, because the mean of its divisors is an integer number (249065376560).

Almost surely, 212244211412444 is an apocalyptic number.

It is an amenable number.

12244211412444 is an abundant number, since it is smaller than the sum of its proper divisors (23621202812196).

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

12244211412444 is a wasteful number, since it uses less digits than its factorization.

12244211412444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12255225 (or 12255188 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

Adding to 12244211412444 its reverse (44421411244221), we get a palindrome (56665622656665).

The spelling of 12244211412444 in words is "twelve trillion, two hundred forty-four billion, two hundred eleven million, four hundred twelve thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 87 99 108 116 132 174 198 261 297 319 348 396 522 594 638 783 841 957 1044 1188 1276 1566 1682 1914 2523 2871 3132 3364 3828 5046 5742 7569 8613 9251 10092 11484 15138 17226 18502 22707 27753 30276 34452 37004 45414 55506 83259 90828 111012 166518 249777 333036 499554 999108 12255143 24510286 36765429 49020572 73530858 110296287 134806573 147061716 220592574 269613146 330888861 355399147 404419719 441185148 539226292 661777722 710798294 808839438 1066197441 1213259157 1323555444 1421596588 1617678876 2132394882 2426518314 3198592323 3639777471 3909390617 4264789764 4853036628 6397184646 7279554942 7818781234 9595776969 10306575263 11728171851 12794369292 14559109884 15637562468 19191553938 20613150526 23456343702 30919725789 35184515553 38383107876 41226301052 46912687404 61839451578 70369031106 92759177367 105553546659 113372327893 123678903156 140738062212 185518354734 211107093318 226744655786 278277532101 340116983679 371036709468 422214186636 453489311572 556555064202 680233967358 1020350951037 1113110128404 1360467934716 2040701902074 3061052853111 4081403804148 6122105706222 12244211412444