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12010021222212 = 22321353593816521
BaseRepresentation
bin1010111011000100110100…
…0011000111011101000100
31120112010222000202221022200
42232301031003013131010
53033233010413102322
641313154431354500
72346460344003546
oct256611503073504
946463860687280
1012010021222212
11391046a974432
12141b757982a30
136917038ca880
142d74068a7696
1515c61cac18ac
hexaec4d0c7744

12010021222212 has 144 divisors (see below), whose sum is σ = 33367027822128. Its totient is φ = 3619548241920.

The previous prime is 12010021222187. The next prime is 12010021222307. The reversal of 12010021222212 is 21222212001021.

It is a happy number.

12010021222212 is a `hidden beast` number, since 120 + 100 + 212 + 22 + 212 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 697669290756 + 11312351931456 = 835266^2 + 3363384^2 .

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

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, 14300512 + ... + 15117032.

It is an arithmetic number, because the mean of its divisors is an integer number (231715470987).

Almost surely, 212010021222212 is an apocalyptic number.

12010021222212 is a gapful number since it is divisible by the number (12) 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 12010021222212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16683513911064).

12010021222212 is an abundant number, since it is smaller than the sum of its proper divisors (21357006599916).

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

12010021222212 is a wasteful number, since it uses less digits than its factorization.

12010021222212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817190 (or 817185 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12010021222212 its reverse (21222212001021), we get a palindrome (33232233223233).

The spelling of 12010021222212 in words is "twelve trillion, ten billion, twenty-one million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 53 78 106 117 156 159 212 234 318 468 477 593 636 689 954 1186 1378 1779 1908 2067 2372 2756 3558 4134 5337 6201 7116 7709 8268 10674 12402 15418 21348 23127 24804 30836 31429 46254 62858 69381 92508 94287 125716 138762 188574 277524 282861 377148 408577 565722 816521 817154 1131444 1225731 1633042 1634308 2449563 2451462 3266084 3677193 4899126 4902924 7348689 7354386 9798252 10614773 14697378 14708772 21229546 29394756 31844319 42459092 43275613 63688638 86551226 95532957 127377276 129826839 173102452 191065914 259653678 382131828 389480517 484196953 519307356 562582969 778961034 968393906 1125165938 1452590859 1557922068 1687748907 1936787812 2250331876 2905181718 3375497814 4357772577 5063246721 5810363436 6294560389 6750995628 8715545154 10126493442 12589120778 17431090308 18883681167 20252986884 25178241556 25662438509 37767362334 51324877018 56651043501 75534724668 76987315527 102649754036 113302087002 153974631054 226604174004 230961946581 307949262108 333611700617 461923893162 667223401234 923847786324 1000835101851 1334446802468 2001670203702 3002505305553 4003340407404 6005010611106 12010021222212