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12103211231232 = 211311179083973
BaseRepresentation
bin1011000000011111111110…
…0110110010100000000000
31120212001111121012220011020
42300013333212302200000
53041244334033344412
641424045524545440
72356266600006132
oct260077746624000
946761447186136
1012103211231232
113946a41234510
121435824b52280
1369a4355a0c44
142dbb2730d052
1515ec7402618c
hexb01ff9b2800

12103211231232 has 96 divisors (see below), whose sum is σ = 35200745929440. Its totient is φ = 3667639746560.

The previous prime is 12103211231203. The next prime is 12103211231239. The reversal of 12103211231232 is 23213211230121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12103211231239) 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 7 ways as a sum of consecutive naturals, for example, 89474403 + ... + 89609570.

It is an arithmetic number, because the mean of its divisors is an integer number (366674436765).

Almost surely, 212103211231232 is an apocalyptic number.

12103211231232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12103211231232 is an abundant number, since it is smaller than the sum of its proper divisors (23097534698208).

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

12103211231232 is a wasteful number, since it uses less digits than its factorization.

12103211231232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179084009 (or 179083989 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12103211231232 its reverse (23213211230121), we get a palindrome (35316422461353).

The spelling of 12103211231232 in words is "twelve trillion, one hundred three billion, two hundred eleven million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4224 5632 6144 8448 11264 16896 22528 33792 67584 179083973 358167946 537251919 716335892 1074503838 1432671784 1969923703 2149007676 2865343568 3939847406 4298015352 5730687136 5909771109 7879694812 8596030704 11461374272 11819542218 15759389624 17192061408 22922748544 23639084436 31518779248 34384122816 45845497088 47278168872 63037558496 68768245632 91690994176 94556337744 126075116992 137536491264 183381988352 189112675488 252150233984 275072982528 366763976704 378225350976 504300467968 550145965056 756450701952 1008600935936 1100291930112 1512901403904 2017201871872 3025802807808 4034403743744 6051605615616 12103211231232