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12201022102212 = 2232418266275137
BaseRepresentation
bin1011000110001100010110…
…0101101001101011000100
31121012101222012121221221100
42301203011211221223010
53044400143124232322
641541023331220100
72366331462463236
oct261430545515304
947171865557840
1012201022102212
113984473995579
121450781747630
136a67226b7168
14302765722256
1516259ae8edac
hexb18c5969ac4

12201022102212 has 36 divisors (see below), whose sum is σ = 31593703577436. Its totient is φ = 3967812065280.

The previous prime is 12201022102163. The next prime is 12201022102219. The reversal of 12201022102212 is 21220122010221.

It is a happy number.

12201022102212 is a `hidden beast` number, since 1 + 220 + 1 + 0 + 221 + 0 + 221 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1930637996676 + 10270384105536 = 1389474^2 + 3204744^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12201022102219) 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, 4133136093 + ... + 4133139044.

It is an arithmetic number, because the mean of its divisors is an integer number (877602877151).

Almost surely, 212201022102212 is an apocalyptic number.

12201022102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12201022102212 is an abundant number, since it is smaller than the sum of its proper divisors (19392681475224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12201022102212 is a wasteful number, since it uses less digits than its factorization.

12201022102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8266275188 (or 8266275183 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12201022102212 its reverse (21220122010221), we get a palindrome (33421144112433).

The spelling of 12201022102212 in words is "twelve trillion, two hundred one billion, twenty-two million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 8266275137 16532550274 24798825411 33065100548 49597650822 74396476233 99195301644 148792952466 297585904932 338917280617 677834561234 1016751841851 1355669122468 2033503683702 3050255525553 4067007367404 6100511051106 12201022102212