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12233012131232 = 251747827578537
BaseRepresentation
bin1011001000000011100001…
…0101111011010110100000
31121022110112122111210220222
42302000320111323112200
53100411202101144412
642003433532422212
72401543305315044
oct262007025732640
947273478453828
1012233012131232
113996a9a485892
121456a0b017968
136a9750145009
1430411c18c024
1516331e65c072
hexb203857b5a0

12233012131232 has 96 divisors (see below), whose sum is σ = 26074531784448. Its totient is φ = 5627405787136.

The previous prime is 12233012131229. The next prime is 12233012131237. The reversal of 12233012131232 is 23213121033221.

It is not an unprimeable number, because it can be changed into a prime (12233012131237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20855468 + ... + 21434004.

It is an arithmetic number, because the mean of its divisors is an integer number (271609706088).

Almost surely, 212233012131232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12233012131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13037265892224).

12233012131232 is an abundant number, since it is smaller than the sum of its proper divisors (13841519653216).

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

12233012131232 is a wasteful number, since it uses less digits than its factorization.

12233012131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579438 (or 579430 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 12233012131232 its reverse (23213121033221), we get a palindrome (35446133164453).

It can be divided in two parts, 1223301 and 2131232, that added together give a palindrome (3354533).

The spelling of 12233012131232 in words is "twelve trillion, two hundred thirty-three billion, twelve million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 47 68 94 136 188 272 376 544 752 799 827 1504 1598 1654 3196 3308 6392 6616 12784 13232 14059 25568 26464 28118 38869 56236 77738 112472 155476 224944 310952 449888 578537 621904 660773 1157074 1243808 1321546 2314148 2643092 4628296 5286184 9256592 9835129 10572368 18513184 19670258 21144736 27191239 39340516 54382478 78681032 108764956 157362064 217529912 314724128 435059824 462251063 478450099 870119648 924502126 956900198 1849004252 1913800396 3698008504 3827600792 7396017008 7655201584 8133651683 14792034016 15310403168 16267303366 22487154653 32534606732 44974309306 65069213464 89948618612 130138426928 179897237224 260276853856 359794474448 382281629101 719588948896 764563258202 1529126516404 3058253032808 6116506065616 12233012131232