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12122121002121 = 3413431012650699
BaseRepresentation
bin1011000001100110011010…
…1101110101110010001001
31120220212022110021210020000
42300121212231311302021
53042102100434031441
641440454150553213
72360536313263404
oct260314655656211
946825273253200
1012122121002121
113953a65312239
121439421968809
1369c15a1393a0
142dc9dc8bad3b
151604ce1db2b6
hexb0666b75c89

12122121002121 has 80 divisors (see below), whose sum is σ = 20152402670400. Its totient is φ = 7214139676800.

The previous prime is 12122121002119. The next prime is 12122121002149. The reversal of 12122121002121 is 12120012122121.

12122121002121 is a `hidden beast` number, since 1 + 21 + 221 + 210 + 0 + 212 + 1 = 666.

12122121002121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12122121002121 - 21 = 12122121002119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12122121002094 and 12122121002103.

It is not an unprimeable number, because it can be changed into a prime (12122121002821) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3247830 + ... + 5898528.

It is an arithmetic number, because the mean of its divisors is an integer number (251905033380).

Almost surely, 212122121002121 is an apocalyptic number.

It is an amenable number.

12122121002121 is a deficient number, since it is larger than the sum of its proper divisors (8030281668279).

12122121002121 is a wasteful number, since it uses less digits than its factorization.

12122121002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2650868 (or 2650859 counting only the distinct ones).

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

Adding to 12122121002121 its reverse (12120012122121), we get a palindrome (24242133124242).

The spelling of 12122121002121 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-one million, two thousand, one hundred twenty-one".

Divisors: 1 3 9 13 27 39 43 81 101 117 129 303 351 387 559 909 1053 1161 1313 1677 2727 3483 3939 4343 5031 8181 11817 13029 15093 35451 39087 45279 56459 106353 117261 169377 351783 508131 1524393 2650699 4573179 7952097 23856291 34459087 71568873 103377261 113980057 214706619 267720599 310131783 341940171 803161797 930395349 1025820513 1481740741 2409485391 2791186047 3077461539 3480367787 4445222223 7228456173 9232384617 10441103361 11511985757 13335666669 21685368519 31323310083 34535957271 40007000007 93969930249 103607871813 120021000021 149655814841 281909790747 310823615439 448967444523 932470846317 1346902333569 4040707000707 12122121002121