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12201012202212 = 22321013355613917
BaseRepresentation
bin1011000110001100010011…
…1111111000101011100100
31121012101221111222222200200
42301203010333320223210
53044400133110432322
641541022335110500
72366331312361251
oct261430477705344
947171844888620
1012201012202212
113984469343559
12145077a372430
136a672062bc82
143027642a6428
1516259a1868ac
hexb18c4ff8ae4

12201012202212 has 36 divisors (see below), whose sum is σ = 31146808386876. Its totient is φ = 4026736699200.

The previous prime is 12201012202201. The next prime is 12201012202319. The reversal of 12201012202212 is 21220221010221.

It is a happy number.

12201012202212 is a `hidden beast` number, since 1 + 220 + 1 + 0 + 1 + 220 + 221 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5415226860096 + 6785785342116 = 2327064^2 + 2604954^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×122010122022122 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1677803323 + ... + 1677810594.

Almost surely, 212201012202212 is an apocalyptic number.

12201012202212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12201012202212 is an abundant number, since it is smaller than the sum of its proper divisors (18945796184664).

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

12201012202212 is a wasteful number, since it uses less digits than its factorization.

12201012202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355614028 (or 3355614023 counting only the distinct ones).

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

Adding to 12201012202212 its reverse (21220221010221), we get a palindrome (33421233212433).

The spelling of 12201012202212 in words is "twelve trillion, two hundred one billion, twelve million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 3355613917 6711227834 10066841751 13422455668 20133683502 30200525253 40267367004 60401050506 120802101012 338917005617 677834011234 1016751016851 1355668022468 2033502033702 3050253050553 4067004067404 6100506101106 12201012202212