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2122212212120 = 2357111353002303
BaseRepresentation
bin11110111000011101101…
…101000111110110011000
321111212210121200110222202
4132320131231013312120
5234232242311241440
64302533020505332
7306216253111340
oct36703555076630
97455717613882
102122212212120
11749030516690
122a33706ab248
1312517bb677a0
1474a03931d20
153a30c2b3615
hex1ee1db47d98

2122212212120 has 128 divisors (see below), whose sum is σ = 6411158691840. Its totient is φ = 610586519040.

The previous prime is 2122212212089. The next prime is 2122212212123. The reversal of 2122212212120 is 212122122212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2122212212092 and 2122212212101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122212212123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26461112 + ... + 26541191.

It is an arithmetic number, because the mean of its divisors is an integer number (50087177280).

Almost surely, 22122212212120 is an apocalyptic number.

2122212212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122212212120 is an abundant number, since it is smaller than the sum of its proper divisors (4288946479720).

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

2122212212120 is a wasteful number, since it uses less digits than its factorization.

2122212212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53002345 (or 53002341 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2122212212120 its reverse (212122122212), we get a palindrome (2334334334332).

It can be divided in two parts, 2122212 and 212120, that added together give a palindrome (2334332).

The spelling of 2122212212120 in words is "two trillion, one hundred twenty-two billion, two hundred twelve million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3640 4004 5005 5720 8008 10010 20020 40040 53002303 106004606 212009212 265011515 371016121 424018424 530023030 583025333 689029939 742032242 1060046060 1166050666 1378059878 1484064484 1855080605 2120092120 2332101332 2756119756 2915126665 2968128968 3445149695 3710161210 4081177331 4664202664 4823209573 5512239512 5830253330 6890299390 7420322420 7579329329 8162354662 9646419146 11660506660 13780598780 14840644840 15158658658 16324709324 19292838292 20405886655 23321013320 24116047865 27561197560 30317317316 32649418648 37896646645 38585676584 40811773310 48232095730 53055305303 60634634632 75793293290 81623546620 96464191460 106110610606 151586586580 163247093240 192928382920 212221221212 265276526515 303173173160 424442442424 530553053030 1061106106060 2122212212120