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12120121220121 = 331034358188141
BaseRepresentation
bin1011000001011110111110…
…0001010001110000011001
31120220200011002100100001000
42300113233201101300121
53042034002013020441
641435523512415213
72360435621360235
oct260275741216031
946820132310030
1012120121220121
113953129504442
121438b640a7509
1369bbcba3a325
142dc88d07b5c5
1516041386d2b6
hexb05ef851c19

12120121220121 has 16 divisors (see below), whose sum is σ = 18130062670720. Its totient is φ = 8001633425040.

The previous prime is 12120121220087. The next prime is 12120121220143. The reversal of 12120121220121 is 12102212102121.

12120121220121 is a `hidden beast` number, since 121 + 201 + 2 + 1 + 220 + 121 = 666.

It is not a de Polignac number, because 12120121220121 - 210 = 12120121219097 is a prime.

It is a super-4 number, since 4×121201212201214 (a number of 53 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12120121220094 and 12120121220103.

It is not an unprimeable number, because it can be changed into a prime (12120121220161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2179091290 + ... + 2179096851.

It is an arithmetic number, because the mean of its divisors is an integer number (1133128916920).

Almost surely, 212120121220121 is an apocalyptic number.

It is an amenable number.

12120121220121 is a deficient number, since it is larger than the sum of its proper divisors (6009941450599).

12120121220121 is a wasteful number, since it uses less digits than its factorization.

12120121220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4358188253 (or 4358188247 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12120121220121 its reverse (12102212102121), we get a palindrome (24222333322242).

The spelling of 12120121220121 in words is "twelve trillion, one hundred twenty billion, one hundred twenty-one million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 27 103 309 927 2781 4358188141 13074564423 39223693269 117671079807 448893378523 1346680135569 4040040406707 12120121220121