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12122200201122 = 23211175961040113
BaseRepresentation
bin1011000001100110101101…
…1011111101011110100010
31120220212111222022111211100
42300121223123331132202
53042102231222413442
641440510100255230
72360541264412314
oct260315333753642
946825458274740
1012122200201122
113953aa5a96660
1214394443a1516
1369c170678cbb
142dca092157b4
151604d613284c
hexb066b6fd7a2

12122200201122 has 96 divisors (see below), whose sum is σ = 30852115220160. Its totient is φ = 3398713436160.

The previous prime is 12122200201117. The next prime is 12122200201127. The reversal of 12122200201122 is 22110200222121.

It is a happy number.

12122200201122 is a `hidden beast` number, since 121 + 2 + 220 + 0 + 201 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (12122200201117) and next prime (12122200201127).

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

It is a junction number, because it is equal to n+sod(n) for n = 12122200201095 and 12122200201104.

It is not an unprimeable number, because it can be changed into a prime (12122200201127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30321463 + ... + 30718650.

It is an arithmetic number, because the mean of its divisors is an integer number (321376200210).

Almost surely, 212122200201122 is an apocalyptic number.

12122200201122 is an abundant number, since it is smaller than the sum of its proper divisors (18729915019038).

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

12122200201122 is a wasteful number, since it uses less digits than its factorization.

12122200201122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61040208 (or 61040205 counting only the distinct ones).

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

Adding to 12122200201122 its reverse (22110200222121), we get a palindrome (34232400423243).

The spelling of 12122200201122 in words is "twelve trillion, one hundred twenty-two billion, two hundred million, two hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 59 66 99 102 118 153 177 187 198 306 354 374 531 561 649 1003 1062 1122 1298 1683 1947 2006 3009 3366 3894 5841 6018 9027 11033 11682 18054 22066 33099 66198 99297 198594 61040113 122080226 183120339 366240678 549361017 671441243 1037681921 1098722034 1342882486 2014323729 2075363842 3113045763 3601366667 4028647458 6042971187 6226091526 7202733334 9339137289 10804100001 11414501131 12085942374 18678274578 21608200002 22829002262 32412300003 34243503393 39615033337 61223233339 64824600006 68487006786 79230066674 102730510179 118845100011 122446466678 183669700017 205461020358 237690200022 356535300033 367339400034 551009100051 673455566729 713070600066 1102018200102 1346911133458 2020366700187 4040733400374 6061100100561 12122200201122