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211212021021220 = 225172122392985691
BaseRepresentation
bin110000000001100010100001…
…011111000011101000100100
31000200211200010220020120102101
4300001202201133003220210
5210140444204340134340
62025113243555221444
762326364530453222
oct6001424137035044
91020750126216371
10211212021021220
116133157364263a
121b83237a5a7884
1390b1292316abb
143a22a059abb12
1519641991e1c9a
hexc018a17c3a24

211212021021220 has 72 divisors (see below), whose sum is σ = 471209554811520. Its totient is φ = 79508590302720.

The previous prime is 211212021021163. The next prime is 211212021021241. The reversal of 211212021021220 is 22120120212112.

It is a super-2 number, since 2×2112120210212202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69248575 + ... + 72234265.

It is an arithmetic number, because the mean of its divisors is an integer number (6544577150160).

Almost surely, 2211212021021220 is an apocalyptic number.

211212021021220 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 211212021021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235604777405760).

211212021021220 is an abundant number, since it is smaller than the sum of its proper divisors (259997533790300).

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

211212021021220 is a wasteful number, since it uses less digits than its factorization.

211212021021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997973 (or 2997954 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 211212021021220 its reverse (22120120212112), we get a palindrome (233332141233332).

The spelling of 211212021021220 in words is "two hundred eleven trillion, two hundred twelve billion, twenty-one million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5780 12239 24478 48956 61195 122390 208063 244780 416126 832252 1040315 2080630 2985691 3537071 4161260 5971382 7074142 11942764 14148284 14928455 17685355 29856910 35370710 50756747 59713820 70741420 101513494 203026988 253783735 507567470 862864699 1015134940 1725729398 3451458796 4314323495 8628646990 17257293980 36541872149 73083744298 146167488596 182709360745 365418721490 621211826533 730837442980 1242423653066 2484847306132 3106059132665 6212118265330 10560601051061 12424236530660 21121202102122 42242404204244 52803005255305 105606010510610 211212021021220