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2122112220120 = 233256196635347
BaseRepresentation
bin11110111000010111101…
…111101011101111011000
321111212112122112100202100
4132320113233223233120
5234232041212020440
64302515045403400
7306213630151434
oct36702757535730
97455478470670
102122112220120
11748a8a030172
122a3343109560
13125164227819
14749d45439c4
153a303611230
hex1ee17bebbd8

2122112220120 has 96 divisors (see below), whose sum is σ = 7009928143920. Its totient is φ = 556619592960.

The previous prime is 2122112220083. The next prime is 2122112220121. The reversal of 2122112220120 is 210222112212.

It is a happy number.

2122112220120 is a `hidden beast` number, since 212 + 2 + 112 + 220 + 120 = 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 = 2122112220093 and 2122112220102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122112220121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48295714 + ... + 48339633.

Almost surely, 22122112220120 is an apocalyptic number.

2122112220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122112220120 is an abundant number, since it is smaller than the sum of its proper divisors (4887815923800).

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

2122112220120 is a wasteful number, since it uses less digits than its factorization.

2122112220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96635425 (or 96635418 counting only the distinct ones).

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

Adding to 2122112220120 its reverse (210222112212), we get a palindrome (2332334332332).

The spelling of 2122112220120 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1464 1830 2196 2440 2745 3660 4392 5490 7320 10980 21960 96635347 193270694 289906041 386541388 483176735 579812082 773082776 869718123 966353470 1159624164 1449530205 1739436246 1932706940 2319248328 2899060410 3478872492 3865413880 4348590615 5798120820 5894756167 6957744984 8697181230 11596241640 11789512334 17394362460 17684268501 23579024668 29473780835 34788724920 35368537002 47158049336 53052805503 58947561670 70737074004 88421342505 106105611006 117895123340 141474148008 176842685010 212211222012 235790246680 265264027515 353685370020 424422444024 530528055030 707370740040 1061056110060 2122112220120