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12201212202210 = 2345101149140841
BaseRepresentation
bin1011000110001101000011…
…1010110100110011100010
31121012102110110100001010000
42301203100322310303202
53044401040310432320
641541054241520430
72366336261345523
oct261432072646342
947172413301100
1012201212202210
113984561226509
121450815343116
136a6752bb6275
14302782a8884a
151625ac9e0c90
hexb18d0eb4ce2

12201212202210 has 80 divisors (see below), whose sum is σ = 33132532895352. Its totient is φ = 3221442144000.

The previous prime is 12201212202181. The next prime is 12201212202217. The reversal of 12201212202210 is 1220221210221.

It is a happy number.

12201212202210 is a `hidden beast` number, since 1 + 2 + 201 + 21 + 220 + 221 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10469100888801 + 1732111313409 = 3235599^2 + 1316097^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12201212202217) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74488611 + ... + 74652230.

Almost surely, 212201212202210 is an apocalyptic number.

12201212202210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12201212202210 is an abundant number, since it is smaller than the sum of its proper divisors (20931320693142).

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

12201212202210 is a wasteful number, since it uses less digits than its factorization.

12201212202210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149140961 (or 149140952 counting only the distinct ones).

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

Adding to 12201212202210 its reverse (1220221210221), we get a palindrome (13421433412431).

The spelling of 12201212202210 in words is "twelve trillion, two hundred one billion, two hundred twelve million, two hundred two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 101 135 162 202 270 303 405 505 606 810 909 1010 1515 1818 2727 3030 4545 5454 8181 9090 13635 16362 27270 40905 81810 149140841 298281682 447422523 745704205 894845046 1342267569 1491408410 2237112615 2684535138 4026802707 4474225230 6711337845 8053605414 12080408121 13422675690 15063224941 20134013535 24160816242 30126449882 40268027070 45189674823 60402040605 75316124705 90379349646 120804081210 135569024469 150632249410 225948374115 271138048938 406707073407 451896748230 677845122345 813414146814 1220121220221 1355690244690 2033535367035 2440242440442 4067070734070 6100606101105 12201212202210