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12201011021121 = 3131047729860307
BaseRepresentation
bin1011000110001100010011…
…1011011000010101000001
31121012101221102202222112120
42301203010323120111001
53044400132310133441
641541022253514453
72366331266341656
oct261430473302501
947171842688476
1012201011021121
11398446870714a
121450779aa2a29
136a67203074c0
14302764079c2d
1516259a001966
hexb18c4ed8541

12201011021121 has 16 divisors (see below), whose sum is σ = 17521073204544. Its totient is φ = 7507597575744.

The previous prime is 12201011021117. The next prime is 12201011021149. The reversal of 12201011021121 is 12112011010221.

It is a happy number.

It is not a de Polignac number, because 12201011021121 - 22 = 12201011021117 is a prime.

It is a super-2 number, since 2×122010110211212 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12201011021121.

It is not an unprimeable number, because it can be changed into a prime (12201011021161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14521551 + ... + 15338756.

It is an arithmetic number, because the mean of its divisors is an integer number (1095067075284).

Almost surely, 212201011021121 is an apocalyptic number.

It is an amenable number.

12201011021121 is a deficient number, since it is larger than the sum of its proper divisors (5320062183423).

12201011021121 is a wasteful number, since it uses less digits than its factorization.

12201011021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29870800.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12201011021121 its reverse (12112011010221), we get a palindrome (24313022031342).

The spelling of 12201011021121 in words is "twelve trillion, two hundred one billion, eleven million, twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 13 39 10477 31431 136201 408603 29860307 89580921 388183991 1164551973 312846436439 938539309317 4067003673707 12201011021121