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12220212120210 = 23251013085343573
BaseRepresentation
bin1011000111010011110101…
…1001110000101010010010
31121021020111121000212202200
42301310331121300222102
53100203443300321320
641553515444024030
72400611151110463
oct261647531605222
947236447025680
1012220212120210
113991621186086
121454438392016
136a84903255b3
14303666200d6a
15162d20a61290
hexb1d3d670a92

12220212120210 has 96 divisors (see below), whose sum is σ = 32088907654128. Its totient is φ = 3226280025600.

The previous prime is 12220212120187. The next prime is 12220212120227. The reversal of 12220212120210 is 1202121202221.

It is a happy number.

12220212120210 is a `hidden beast` number, since 1 + 2 + 220 + 21 + 212 + 0 + 210 = 666.

12220212120210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2079038120769 + 10141173999441 = 1441887^2 + 3184521^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280431984 + ... + 280475556.

Almost surely, 212220212120210 is an apocalyptic number.

12220212120210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12220212120210 is an abundant number, since it is smaller than the sum of its proper divisors (19868695533918).

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

12220212120210 is a wasteful number, since it uses less digits than its factorization.

12220212120210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74540 (or 74537 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12220212120210 its reverse (1202121202221), we get a palindrome (13422333322431).

The spelling of 12220212120210 in words is "twelve trillion, two hundred twenty billion, two hundred twelve million, one hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 30853 43573 61706 87146 92559 130719 154265 185118 217865 261438 277677 308530 392157 435730 462795 555354 653595 784314 925590 1307190 1388385 1960785 2776770 3116153 3921570 4400873 6232306 8801746 9348459 13202619 15580765 18696918 22004365 26405238 28045377 31161530 39607857 44008730 46742295 56090754 66013095 79215714 93484590 132026190 140226885 198039285 280453770 396078570 1344357769 2688715538 4033073307 6721788845 8066146614 12099219921 13443577690 20165366535 24198439842 40330733070 60496099605 120992199210 135780134669 271560269338 407340404007 678900673345 814680808014 1222021212021 1357801346690 2036702020035 2444042424042 4073404040070 6110106060105 12220212120210