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212100121002220 = 2251143199112666993
BaseRepresentation
bin110000001110011101101000…
…010111101000000011101100
31000210222120111010001001110021
4300032131220113220003230
5210300022021434032340
62031033241144051524
762450504502652633
oct6016355027500354
91023876433031407
10212100121002220
1161644179959a90
121b956511463ba4
139146c56576339
143a539b476051a
15197c326b4be4a
hexc0e7685e80ec

212100121002220 has 96 divisors (see below), whose sum is σ = 499700651788800. Its totient is φ = 74955096437760.

The previous prime is 212100121002197. The next prime is 212100121002247. The reversal of 212100121002220 is 22200121001212.

It is a happy number.

It is a super-2 number, since 2×2121001210022202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212100121002194 and 212100121002203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54450957 + ... + 58216036.

It is an arithmetic number, because the mean of its divisors is an integer number (5205215122800).

Almost surely, 2212100121002220 is an apocalyptic number.

212100121002220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100121002220 is an abundant number, since it is smaller than the sum of its proper divisors (287600530786580).

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

212100121002220 is a wasteful number, since it uses less digits than its factorization.

212100121002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112667255 (or 112667253 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212100121002220 its reverse (22200121001212), we get a palindrome (234300242003432).

The spelling of 212100121002220 in words is "two hundred twelve trillion, one hundred billion, one hundred twenty-one million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 199 215 220 398 430 473 796 860 946 995 1892 1990 2189 2365 3980 4378 4730 8557 8756 9460 10945 17114 21890 34228 42785 43780 85570 94127 171140 188254 376508 470635 941270 1882540 112666993 225333986 450667972 563334965 1126669930 1239336923 2253339860 2478673846 4844680699 4957347692 6196684615 9689361398 12393369230 19378722796 22420731607 24223403495 24786738460 44841463214 48446806990 53291487689 89682926428 96893613980 106582975378 112103658035 213165950756 224207316070 246628047677 266457438445 448414632140 493256095354 532914876890 964091459101 986512190708 1065829753780 1233140238385 1928182918202 2466280476770 3856365836404 4820457295505 4932560953540 9640914591010 10605006050111 19281829182020 21210012100222 42420024200444 53025030250555 106050060501110 212100121002220