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12012112220121 = 3213611683075833
BaseRepresentation
bin1010111011001100100110…
…1011101000111111011001
31120112100100202100122012200
42232303021223220333121
53033301301212020441
641314142125000413
72346563224125426
oct256631153507731
946470322318180
1012012112220121
113911343214082
1214200400b3109
13691977b86140
142d756448cd4d
1515c6e145b7b6
hexaecc9ae8fd9

12012112220121 has 24 divisors (see below), whose sum is σ = 18991827710856. Its totient is φ = 7270887594240.

The previous prime is 12012112220111. The next prime is 12012112220189. The reversal of 12012112220121 is 12102221121021.

It can be written as a sum of positive squares in 4 ways, for example, as 1808150855625 + 10203961364496 = 1344675^2 + 3194364^2 .

It is not a de Polignac number, because 12012112220121 - 26 = 12012112220057 is a prime.

It is a super-3 number, since 3×120121122201213 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12012112220094 and 12012112220103.

It is not an unprimeable number, because it can be changed into a prime (12012112220111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 841530780 + ... + 841545053.

It is an arithmetic number, because the mean of its divisors is an integer number (791326154619).

Almost surely, 212012112220121 is an apocalyptic number.

It is an amenable number.

12012112220121 is a deficient number, since it is larger than the sum of its proper divisors (6979715490735).

12012112220121 is a wasteful number, since it uses less digits than its factorization.

12012112220121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683075913 (or 1683075910 counting only the distinct ones).

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

Adding to 12012112220121 its reverse (12102221121021), we get a palindrome (24114333341142).

The spelling of 12012112220121 in words is "twelve trillion, twelve billion, one hundred twelve million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 13 39 61 117 183 549 793 2379 7137 1683075833 5049227499 15147682497 21879985829 65639957487 102667625813 196919872461 308002877439 924008632317 1334679135569 4004037406707 12012112220121