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12122203203 = 3311293183547
BaseRepresentation
bin10110100101000101…
…00010010001000011
31011021211001201122000
423102202202101003
5144311241000303
65322512515043
7606254012205
oct132242422103
934254051560
1012122203203
115160738760
12242384ba83
1311b2580506
1482dd4c775
154ae35dda3
hex2d28a2443

12122203203 has 128 divisors (see below), whose sum is σ = 21211545600. Its totient is φ = 6769526400.

The previous prime is 12122203147. The next prime is 12122203231. The reversal of 12122203203 is 30230222121.

12122203203 is a `hidden beast` number, since 121 + 2 + 220 + 320 + 3 = 666.

It is not a de Polignac number, because 12122203203 - 26 = 12122203139 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12122203003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22160976 + ... + 22161522.

It is an arithmetic number, because the mean of its divisors is an integer number (165715200).

Almost surely, 212122203203 is an apocalyptic number.

12122203203 is a deficient number, since it is larger than the sum of its proper divisors (9089342397).

12122203203 is a wasteful number, since it uses less digits than its factorization.

12122203203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12122203203 its reverse (30230222121), we get a palindrome (42352425324).

The spelling of 12122203203 in words is "twelve billion, one hundred twenty-two million, two hundred three thousand, two hundred three".

Divisors: 1 3 9 11 27 29 31 33 83 87 93 99 249 261 279 297 319 341 547 747 783 837 899 913 957 1023 1641 2241 2407 2573 2697 2739 2871 3069 4923 6017 7221 7719 8091 8217 8613 9207 9889 14769 15863 16957 18051 21663 23157 24273 24651 26477 28303 29667 45401 47589 50871 54153 64989 69471 74617 79431 84909 89001 136203 142767 152613 162459 174493 186527 223851 238293 254727 267003 408609 428301 457839 491753 499411 523479 559581 671553 714879 764181 820787 1225827 1316629 1407431 1475259 1498233 1570437 1678743 2014659 2462361 3949887 4222293 4425777 4494699 4711311 5036229 5409283 7387083 11849661 12666879 13277331 13484097 14482919 15481741 16227849 22161249 35548983 38000637 40815499 43448757 46445223 48683547 122446497 130346271 139335669 146050641 367339491 391038813 418007007 448970489 1102018473 1346911467 4040734401 12122203203