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2122112222120 = 2351173295722343
BaseRepresentation
bin11110111000010111101…
…111101100001110101000
321111212112122112110111102
4132320113233230032220
5234232041212101440
64302515045420532
7306213630160322
oct36702757541650
97455478473442
102122112222120
11748a8a031720
122a334310a748
131251642286c7
14749d4544612
153a303611b15
hex1ee17bec3a8

2122112222120 has 128 divisors (see below), whose sum is σ = 5282196675840. Its totient is φ = 760814807040.

The previous prime is 2122112222099. The next prime is 2122112222123. The reversal of 2122112222120 is 212222112212.

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 = 2122112222092 and 2122112222101.

It is not an unprimeable number, because it can be changed into a prime (2122112222123) 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, 94967669 + ... + 94990011.

It is an arithmetic number, because the mean of its divisors is an integer number (41267161530).

Almost surely, 22122112222120 is an apocalyptic number.

2122112222120 is a gapful number since it is divisible by the number (20) 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 2122112222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641098337920).

2122112222120 is an abundant number, since it is smaller than the sum of its proper divisors (3160084453720).

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

2122112222120 is a wasteful number, since it uses less digits than its factorization.

2122112222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25395 (or 25391 counting only the distinct ones).

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

Adding to 2122112222120 its reverse (212222112212), we get a palindrome (2334334334332).

The spelling of 2122112222120 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 146 220 292 365 440 584 730 803 1460 1606 2920 2957 3212 4015 5914 6424 8030 11828 14785 16060 22343 23656 29570 32120 32527 44686 59140 65054 89372 111715 118280 130108 162635 178744 215861 223430 245773 260216 325270 431722 446860 491546 650540 863444 893720 983092 1079305 1228865 1301080 1631039 1726888 1966184 2158610 2374471 2457730 3262078 4317220 4748942 4915460 6524156 8155195 8634440 9497884 9830920 11872355 13048312 16310390 17941429 18995768 23744710 32620780 35882858 47489420 65241560 66068251 71765716 89707145 94978840 132136502 143531432 179414290 264273004 330341255 358828580 528546008 660682510 717657160 726750761 1321365020 1453501522 2642730040 2907003044 3633753805 4822982323 5814006088 7267507610 9645964646 14535015220 19291929292 24114911615 29070030440 38583858584 48229823230 53052805553 96459646460 106105611106 192919292920 212211222212 265264027765 424422444424 530528055530 1061056111060 2122112222120