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12122121212001 = 321970889597731
BaseRepresentation
bin1011000001100110011010…
…1110101001000001100001
31120220212022110200110010100
42300121212232221001201
53042102101012241001
641440454155253013
72360536315126323
oct260314656510141
946825273613110
1012122121212001
113953a65445999
121439421a4a169
1369c15a1b0a88
142dc9dc933613
151604ce22d586
hexb0666ba9061

12122121212001 has 12 divisors (see below), whose sum is σ = 18431295410320. Its totient is φ = 7656076554840.

The previous prime is 12122121211951. The next prime is 12122121212041. The reversal of 12122121212001 is 10021212122121.

12122121212001 is a `hidden beast` number, since 121 + 221 + 2 + 121 + 200 + 1 = 666.

It is not a de Polignac number, because 12122121212001 - 218 = 12122120949857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12122121212041) 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 11 ways as a sum of consecutive naturals, for example, 35444798695 + ... + 35444799036.

Almost surely, 212122121212001 is an apocalyptic number.

It is an amenable number.

12122121212001 is a deficient number, since it is larger than the sum of its proper divisors (6309174198319).

12122121212001 is a wasteful number, since it uses less digits than its factorization.

12122121212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70889597756 (or 70889597753 counting only the distinct ones).

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

Adding to 12122121212001 its reverse (10021212122121), we get a palindrome (22143333334122).

It can be divided in two parts, 121 and 22121212001, that added together give a palindrome (22121212122).

The spelling of 12122121212001 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred twelve thousand, one".

Divisors: 1 3 9 19 57 171 70889597731 212668793193 638006379579 1346902356889 4040707070667 12122121212001