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2122202201120 = 25531446395869
BaseRepresentation
bin11110111000011101000…
…110111011110000100000
321111212202220211212110222
4132320131012323300200
5234232232230413440
64302532022142212
7306216102034631
oct36703506736040
97455686755428
102122202201120
117490258a9231
122a3369281968
13125179a70c11
1474a02487888
153a30b4872b5
hex1ee1d1bbc20

2122202201120 has 96 divisors (see below), whose sum is σ = 5176648673280. Its totient is φ = 821304990720.

The previous prime is 2122202201113. The next prime is 2122202201179. The reversal of 2122202201120 is 211022022212.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22088546 + ... + 22184414.

It is an arithmetic number, because the mean of its divisors is an integer number (53923423680).

Almost surely, 22122202201120 is an apocalyptic number.

2122202201120 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 2122202201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588324336640).

2122202201120 is an abundant number, since it is smaller than the sum of its proper divisors (3054446472160).

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

2122202201120 is a wasteful number, since it uses less digits than its factorization.

2122202201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100378 (or 100370 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2122202201120 its reverse (211022022212), we get a palindrome (2333224223332).

The spelling of 2122202201120 in words is "two trillion, one hundred twenty-two billion, two hundred two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4463 4960 8926 17852 22315 35704 44630 71408 89260 95869 138353 142816 178520 191738 276706 357040 383476 479345 553412 691765 714080 766952 958690 1106824 1383530 1533904 1917380 2213648 2767060 2971939 3067808 3834760 4427296 5534120 5943878 7669520 11068240 11887756 14859695 15339040 22136480 23775512 29719390 47551024 59438780 95102048 118877560 237755120 427863347 475510240 855726694 1711453388 2139316735 3422906776 4278633470 6845813552 8557266940 13263763757 13691627104 17114533880 26527527514 34229067760 53055055028 66318818785 68458135520 106110110056 132637637570 212220220112 265275275140 424440440224 530550550280 1061101100560 2122202201120