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120012300022212 = 2232133739799174143
BaseRepresentation
bin11011010010011010001010…
…100000101111000111000100
3120201221001201112102220101200
4123102122022200233013010
5111212240142301202322
61103124520045022500
734164413446512213
oct3322321240570704
9521831645386350
10120012300022212
113526aa26714a24
1211563230554a30
1351c715a799420
14218c8aa86907a
15dd1bde3db8ac
hex6d268a82f1c4

120012300022212 has 144 divisors (see below), whose sum is σ = 335540241254400. Its totient is φ = 35927729190144.

The previous prime is 120012300022169. The next prime is 120012300022259. The reversal of 120012300022212 is 212220003210021.

120012300022212 is a `hidden beast` number, since 1 + 200 + 1 + 230 + 0 + 0 + 22 + 212 = 666.

120012300022212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 689072413 + ... + 689246555.

Almost surely, 2120012300022212 is an apocalyptic number.

120012300022212 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 120012300022212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167770120627200).

120012300022212 is an abundant number, since it is smaller than the sum of its proper divisors (215527941232188).

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

120012300022212 is a wasteful number, since it uses less digits than its factorization.

120012300022212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214002 (or 213997 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 120012300022212 its reverse (212220003210021), we get a palindrome (332232303232233).

The spelling of 120012300022212 in words is "one hundred twenty trillion, twelve billion, three hundred million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 333 444 468 481 666 962 1332 1443 1924 2886 4329 5772 8658 17316 39799 79598 119397 159196 174143 238794 348286 358191 477588 517387 522429 696572 716382 1034774 1044858 1432764 1472563 1552161 1567287 2069548 2089716 2263859 2945126 3104322 3134574 4417689 4527718 4656483 5890252 6208644 6269148 6443291 6791577 8835378 9055436 9312966 12886582 13253067 13583154 17670756 18625932 19143319 19329873 20374731 25773164 26506134 27166308 38286638 38659746 40749462 53012268 57429957 57989619 76573276 77319492 81498924 83762783 114859914 115979238 167525566 172289871 229719828 231958476 251288349 335051132 344579742 502576698 689159484 753865047 1005153396 1507730094 3015460188 6930717257 13861434514 20792151771 27722869028 41584303542 62376455313 83168607084 90099324341 124752910626 180198648682 249505821252 256436538509 270297973023 360397297364 512873077018 540595946046 769309615527 810893919069 1025746154036 1081191892092 1538619231054 1621787838138 2307928846581 3077238462108 3243575676276 3333675000617 4615857693162 6667350001234 9231715386324 10001025001851 13334700002468 20002050003702 30003075005553 40004100007404 60006150011106 120012300022212