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122020122220020 = 223252966463351707
BaseRepresentation
bin11011101111101000000110…
…000010100101010111110100
3121000001000021010010120111200
4123233220012002211113310
5111443134202242020040
61111303134214532500
734462443243554553
oct3357500602452764
9530030233116450
10122020122220020
1135974496a317a2
1211828398067130
1353115a978c1bb
14221bb3c13bd9a
15e19053e92630
hex6efa060a55f4

122020122220020 has 144 divisors (see below), whose sum is σ = 382897577986560. Its totient is φ = 31416113127168.

The previous prime is 122020122220019. The next prime is 122020122220043. The reversal of 122020122220020 is 20022221020221.

122020122220020 is a `hidden beast` number, since 1 + 2 + 20 + 201 + 222 + 200 + 20 = 666.

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 = 122020122219975 and 122020122220002.

It is a congruent number.

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, 346761007 + ... + 347112713.

It is an arithmetic number, because the mean of its divisors is an integer number (2659010958240).

Almost surely, 2122020122220020 is an apocalyptic number.

122020122220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122020122220020 is an abundant number, since it is smaller than the sum of its proper divisors (260877455766540).

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

122020122220020 is a wasteful number, since it uses less digits than its factorization.

122020122220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418214 (or 418209 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122020122220020 its reverse (20022221020221), we get a palindrome (142042343240241).

The spelling of 122020122220020 in words is "one hundred twenty-two trillion, twenty billion, one hundred twenty-two million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 66463 132926 199389 265852 332315 351707 398778 598167 664630 703414 797556 996945 1055121 1196334 1329260 1406828 1758535 1927427 1993890 2110242 2392668 2990835 3165363 3517070 3854854 3987780 4220484 5275605 5782281 5981670 6330726 7034140 7709708 9637135 10199503 10551210 11564562 11963340 12661452 15826815 17346843 19274270 20399006 21102420 23129124 28911405 30598509 31653630 34693686 38548540 40798012 50997515 57822810 61197018 63307260 69387372 86734215 91795527 101995030 115645620 122394036 152992545 173468430 183591054 203990060 305985090 346936860 367182108 458977635 611970180 917955270 1835910540 23375502341 46751004682 70126507023 93502009364 116877511705 140253014046 210379521069 233755023410 280506028092 350632535115 420759042138 467510046820 677889567889 701265070230 841518084276 1051897605345 1355779135778 1402530140460 2033668703667 2103795210690 2711558271556 3389447839445 4067337407334 4207590421380 6101006111001 6778895678890 8134674814668 10168343518335 12202012222002 13557791357780 20336687036670 24404024444004 30505030555005 40673374073340 61010061110010 122020122220020