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12122232201 = 331014639601
BaseRepresentation
bin10110100101000101…
…01001010110001001
31011021211010012102000
423102202221112021
5144311242412301
65322513301213
7606254162562
oct132242512611
934254105360
1012122232201
115160758522
122423864809
1311b2590781
1482dd59169
154ae367786
hex2d28a9589

12122232201 has 32 divisors (see below), whose sum is σ = 18177738240. Its totient is φ = 7983360000.

The previous prime is 12122232191. The next prime is 12122232251. The reversal of 12122232201 is 10223222121.

12122232201 is a `hidden beast` number, since 121 + 222 + 322 + 0 + 1 = 666.

It is not a de Polignac number, because 12122232201 - 230 = 11048490377 is a prime.

It is a super-2 number, since 2×121222322012 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12122232251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257801 + ... + 1267401.

It is an arithmetic number, because the mean of its divisors is an integer number (568054320).

Almost surely, 212122232201 is an apocalyptic number.

It is an amenable number.

12122232201 is a deficient number, since it is larger than the sum of its proper divisors (6055506039).

12122232201 is a wasteful number, since it uses less digits than its factorization.

12122232201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10174 (or 10168 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12122232201 its reverse (10223222121), we get a palindrome (22345454322).

The spelling of 12122232201 in words is "twelve billion, one hundred twenty-two million, two hundred thirty-two thousand, two hundred one".

Divisors: 1 3 9 27 101 303 463 909 1389 2727 4167 9601 12501 28803 46763 86409 140289 259227 420867 969701 1262601 2909103 4445263 8727309 13335789 26181927 40007367 120022101 448971563 1346914689 4040744067 12122232201