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12012212101221 = 325719692333501
BaseRepresentation
bin1010111011001100111110…
…1000101010000001100101
31120112100121201022010022200
42232303033220222001211
53033302002244214341
641314200053445113
72346565546114113
oct256631750520145
946470551263280
1012012212101221
113911394634242
121420069640799
13691992787797
142d757384cab3
1515c6ea0dadb6
hexaeccfa2a065

12012212101221 has 12 divisors (see below), whose sum is σ = 17351010806220. Its totient is φ = 8008123968000.

The previous prime is 12012212101213. The next prime is 12012212101259. The reversal of 12012212101221 is 12210121221021.

12012212101221 is a `hidden beast` number, since 1 + 201 + 221 + 21 + 0 + 1 + 221 = 666.

12012212101221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4464219636900 + 7547992464321 = 2112870^2 + 2747361^2 .

It is not a de Polignac number, because 12012212101221 - 23 = 12012212101213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12012212101194 and 12012212101203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012212101291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3980971 + ... + 6314471.

It is an arithmetic number, because the mean of its divisors is an integer number (1445917567185).

Almost surely, 212012212101221 is an apocalyptic number.

It is an amenable number.

12012212101221 is a deficient number, since it is larger than the sum of its proper divisors (5338798704999).

12012212101221 is a wasteful number, since it uses less digits than its factorization.

12012212101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905476 (or 2905473 counting only the distinct ones).

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

Adding to 12012212101221 its reverse (12210121221021), we get a palindrome (24222333322242).

The spelling of 12012212101221 in words is "twelve trillion, twelve billion, two hundred twelve million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 3 9 571969 1715907 2333501 5147721 7000503 21001509 1334690233469 4004070700407 12012212101221