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12213201 = 373111383
BaseRepresentation
bin101110100101…
…101111010001
3211222111100210
4232211233101
511111310301
61113434333
7205545000
oct56455721
924874323
1012213201
116991a60
12410b9a9
1326b8060
14189cc37
151113ad6
hexba5bd1

12213201 has 64 divisors (see below), whose sum is σ = 22579200. Its totient is φ = 5785920.

The previous prime is 12213199. The next prime is 12213221. The reversal of 12213201 is 10231221.

It is not a de Polignac number, because 12213201 - 21 = 12213199 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12213221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147106 + ... + 147188.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 212213201 is an apocalyptic number.

12213201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12213201 is a deficient number, since it is larger than the sum of its proper divisors (10365999).

12213201 is a wasteful number, since it uses less digits than its factorization.

12213201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 12213201 is about 3494.7390460519. The cubic root of 12213201 is about 230.2907539024.

Adding to 12213201 its reverse (10231221), we get a palindrome (22444422).

The spelling of 12213201 in words is "twelve million, two hundred thirteen thousand, two hundred one".

Divisors: 1 3 7 11 13 21 33 39 49 77 83 91 143 147 231 249 273 343 429 539 581 637 913 1001 1029 1079 1617 1743 1911 2739 3003 3237 3773 4067 4459 6391 7007 7553 11319 11869 12201 13377 19173 21021 22659 28469 35607 44737 49049 52871 83083 85407 134211 147147 158613 249249 313159 370097 581581 939477 1110291 1744743 4071067 12213201