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122002120212 = 2237210310211973
BaseRepresentation
bin111000110011111100…
…1001001111000010100
3102122220112111212002220
41301213321021320110
53444330020321322
6132014052502340
711546216624400
oct1614771117024
9378815455086
10122002120212
114781701a725
121b78a31a9b0
13b673c2479b
145c951d4100
153290b3655c
hex1c67e49e14

122002120212 has 144 divisors (see below), whose sum is σ = 334860769152. Its totient is φ = 34468035840.

The previous prime is 122002120193. The next prime is 122002120213. The reversal of 122002120212 is 212021200221.

It is a junction number, because it is equal to n+sod(n) for n = 122002120191 and 122002120200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122002120213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61834858 + ... + 61836830.

It is an arithmetic number, because the mean of its divisors is an integer number (2325422008).

Almost surely, 2122002120212 is an apocalyptic number.

122002120212 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 122002120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167430384576).

122002120212 is an abundant number, since it is smaller than the sum of its proper divisors (212858648940).

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

122002120212 is a wasteful number, since it uses less digits than its factorization.

122002120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122002120212 its reverse (212021200221), we get a palindrome (334023320433).

The spelling of 122002120212 in words is "one hundred twenty-two billion, two million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 103 147 196 206 294 309 412 588 618 721 1021 1236 1442 1973 2042 2163 2884 3063 3946 4084 4326 5047 5919 6126 7147 7892 8652 10094 11838 12252 13811 14294 15141 20188 21441 23676 27622 28588 30282 41433 42882 50029 55244 60564 82866 85764 96677 100058 105163 150087 165732 193354 200116 203219 210326 290031 300174 315489 386708 406438 420652 580062 600348 609657 630978 736141 812876 1160124 1219314 1261956 1422533 1472282 2014433 2208423 2438628 2845066 2944564 4028866 4267599 4416846 5152987 5690132 6043299 8057732 8535198 8833692 9957731 10305974 12086598 14101031 15458961 17070396 19915462 20611948 24173196 28202062 29873193 30917922 39830924 42303093 56404124 59746386 61835844 84606186 98707217 119492772 169212372 197414434 207486599 296121651 394828868 414973198 592243302 622459797 829946396 1184486604 1244919594 1452406193 2489839188 2904812386 4357218579 5809624772 8714437158 10166843351 17428874316 20333686702 30500530053 40667373404 61001060106 122002120212