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220122201101120 = 26543148310787089
BaseRepresentation
bin110010000011001100110001…
…100110101001001101000000
31001212101110212200000200211022
4302003030301212221031000
5212322440231440213440
62100054424305205012
764236206226505313
oct6203146146511500
91055343780020738
10220122201101120
1164157334a4733a
12208311a7930768
1395a9585785876
143c4dd8567097a
151a6ad3c263cb5
hexc833319a9340

220122201101120 has 112 divisors (see below), whose sum is σ = 536717617423680. Its totient is φ = 85943232700416.

The previous prime is 220122201101053. The next prime is 220122201101123. The reversal of 220122201101120 is 21101102221022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220122201101123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15012536 + ... + 25799624.

It is an arithmetic number, because the mean of its divisors is an integer number (4792121584140).

Almost surely, 2220122201101120 is an apocalyptic number.

220122201101120 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 220122201101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268358808711840).

220122201101120 is an abundant number, since it is smaller than the sum of its proper divisors (316595416322560).

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

220122201101120 is a wasteful number, since it uses less digits than its factorization.

220122201101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10788632 (or 10788622 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 220122201101120 its reverse (21101102221022), we get a palindrome (241223303322142).

The spelling of 220122201101120 in words is "two hundred twenty trillion, one hundred twenty-two billion, two hundred one million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 430 688 860 1376 1483 1720 2752 2966 3440 5932 6880 7415 11864 13760 14830 23728 29660 47456 59320 63769 94912 118640 127538 237280 255076 318845 474560 510152 637690 1020304 1275380 2040608 2550760 4081216 5101520 10203040 10787089 20406080 21574178 43148356 53935445 86296712 107870890 172593424 215741780 345186848 431483560 463844827 690373696 862967120 927689654 1725934240 1855379308 2319224135 3451868480 3710758616 4638448270 7421517232 9276896540 14843034464 15997252987 18553793080 29686068928 31994505974 37107586160 63989011948 74215172320 79986264935 127978023896 148430344640 159972529870 255956047792 319945059740 511912095584 639890119480 687881878441 1023824191168 1279780238960 1375763756882 2559560477920 2751527513764 3439409392205 5119120955840 5503055027528 6878818784410 11006110055056 13757637568820 22012220110112 27515275137640 44024440220224 55030550275280 110061100550560 220122201101120