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22111121011212 = 223223257266339019
BaseRepresentation
bin1010000011100001001011…
…00000110111001000001100
32220021210200001002121021200
411001300211200313020030
510344232033434324322
6115005413032025500
74441322122363452
oct501604540671014
986253601077250
1022111121011212
117055301414282
122591349832290
13c450ba37143c
14566280b3c9d2
152852635928ac
hex141c2583720c

22111121011212 has 144 divisors (see below), whose sum is σ = 58572508700160. Its totient is φ = 7019674066944.

The previous prime is 22111121011201. The next prime is 22111121011249. The reversal of 22111121011212 is 21211012111122.

It is a happy number.

22111121011212 is a `hidden beast` number, since 221 + 1 + 11 + 210 + 11 + 212 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 566656239 + ... + 566695257.

It is an arithmetic number, because the mean of its divisors is an integer number (406753532640).

Almost surely, 222111121011212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22111121011212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29286254350080).

22111121011212 is an abundant number, since it is smaller than the sum of its proper divisors (36461387688948).

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

22111121011212 is a wasteful number, since it uses less digits than its factorization.

22111121011212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41972 (or 41967 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 22111121011212 its reverse (21211012111122), we get a palindrome (43322133122334).

The spelling of 22111121011212 in words is "twenty-two trillion, one hundred eleven billion, one hundred twenty-one million, eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 257 276 414 514 771 828 1028 1542 2313 2663 3084 4626 5326 5911 7989 9252 10652 11822 15978 17733 23644 23967 31956 35466 39019 47934 53199 61249 70932 78038 95868 106398 117057 122498 156076 183747 212796 234114 244996 351171 367494 468228 551241 684391 702342 734988 897437 1102482 1368782 1404684 1794874 2053173 2204964 2692311 2737564 3589748 4106346 5384622 6159519 8076933 8212692 10027883 10769244 12319038 15740993 16153866 20055766 24638076 30083649 31481986 32307732 40111532 47222979 60167298 62963972 90250947 94445958 103907597 120334596 141668937 180501894 188891916 207815194 230641309 283337874 311722791 361003788 415630388 461282618 566675748 623445582 691923927 922565236 935168373 1246891164 1383847854 1870336746 2075771781 2389874731 2767695708 3740673492 4151543562 4779749462 7169624193 8303087124 9559498924 14339248386 21508872579 26704252429 28678496772 43017745158 53408504858 80112757287 86035490316 106817009716 160225514574 240338271861 320451029148 480676543722 614197805867 961353087444 1228395611734 1842593417601 2456791223468 3685186835202 5527780252803 7370373670404 11055560505606 22111121011212