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12121211201211 = 3775227151477
BaseRepresentation
bin1011000001100011000001…
…1111001110011010111011
31120220202222001100010000000
42300120300133032122323
53042043220031414321
641440224010444043
72360504625144540
oct260306037163273
946822861303000
1012121211201211
1139536387a6362
121439209133623
1369c0437c0958
142dc953b2cbc7
151604793c5826
hexb06307ce6bb

12121211201211 has 64 divisors (see below), whose sum is σ = 20780164060160. Its totient is φ = 6925035562848.

The previous prime is 12121211201159. The next prime is 12121211201221. The reversal of 12121211201211 is 11210211212121.

It is a happy number.

12121211201211 is a `hidden beast` number, since 1 + 21 + 21 + 211 + 201 + 211 = 666.

It is not a de Polignac number, because 12121211201211 - 210 = 12121211200187 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12121211201221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79944405 + ... + 80095881.

It is an arithmetic number, because the mean of its divisors is an integer number (324690063440).

Almost surely, 212121211201211 is an apocalyptic number.

12121211201211 is a deficient number, since it is larger than the sum of its proper divisors (8658952858949).

12121211201211 is an frugal number, since it uses more digits than its factorization.

12121211201211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156732 (or 156714 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12121211201211 its reverse (11210211212121), we get a palindrome (23331422413332).

The spelling of 12121211201211 in words is "twelve trillion, one hundred twenty-one billion, two hundred eleven million, two hundred one thousand, two hundred eleven".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 729 1701 2187 5103 5227 15309 15681 36589 47043 109767 141129 151477 329301 423387 454431 987903 1060339 1270161 1363293 2963709 3181017 3810483 4089879 8891127 9543051 11431449 12269637 26673381 28629153 36808911 80020143 85887459 110426733 257662377 331280199 772987131 791770279 2318961393 2375310837 5542391953 7125932511 16627175859 21377797533 49881527577 64133392599 149644582731 192400177797 448933748193 577200533391 1346801244579 1731601600173 4040403733737 12121211201211