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12011330123310 = 235736717422117
BaseRepresentation
bin1010111011001001101100…
…0100001011011000101110
31120112021100020201000002010
42232302123010023120232
53033243201002421220
641313532345542050
72346534646326000
oct256623304133056
946467306630063
1012011330123310
113910a817a1181
12141ba621a4926
13691881b3116b
142d74cc664370
1515c69796e1e0
hexaec9b10b62e

12011330123310 has 128 divisors (see below), whose sum is σ = 34119475891200. Its totient is φ = 2704469910912.

The previous prime is 12011330123263. The next prime is 12011330123357. The reversal of 12011330123310 is 1332103311021.

It is a happy number.

12011330123310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12011330123263) and next prime (12011330123357).

It is a super-2 number, since 2×120113301233102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8021629 + ... + 9400488.

It is an arithmetic number, because the mean of its divisors is an integer number (266558405400).

Almost surely, 212011330123310 is an apocalyptic number.

12011330123310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12011330123310 is an abundant number, since it is smaller than the sum of its proper divisors (22108145767890).

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

12011330123310 is a wasteful number, since it uses less digits than its factorization.

12011330123310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17422215 (or 17422201 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 12011330123310 its reverse (1332103311021), we get a palindrome (13343433434331).

The spelling of 12011330123310 in words is "twelve trillion, eleven billion, three hundred thirty million, one hundred twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 67 70 98 105 134 147 201 210 245 294 335 343 402 469 490 670 686 735 938 1005 1029 1407 1470 1715 2010 2058 2345 2814 3283 3430 4690 5145 6566 7035 9849 10290 14070 16415 19698 22981 32830 45962 49245 68943 98490 114905 137886 229810 344715 689430 17422117 34844234 52266351 87110585 104532702 121954819 174221170 243909638 261331755 365864457 522663510 609774095 731728914 853683733 1167281839 1219548190 1707367466 1829322285 2334563678 2561051199 3501845517 3658644570 4268418665 5122102398 5836409195 5975786131 7003691034 8170972873 8536837330 11672818390 11951572262 12805255995 16341945746 17509227585 17927358393 24512918619 25610511990 29878930655 35018455170 35854716786 40854864365 49025837238 57196810111 59757861310 81709728730 89636791965 114393620222 122564593095 171590430333 179273583930 245129186190 285984050555 343180860666 400377670777 571968101110 800755341554 857952151665 1201133012331 1715904303330 2001888353885 2402266024662 4003776707770 6005665061655 12011330123310