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12011330313024 = 263710386767007
BaseRepresentation
bin1010111011001001101100…
…0100111001101101000000
31120112021100021001122022120
42232302123010321231000
53033243201030004044
641313532354004240
72346534651046050
oct256623304715500
946467307048276
1012011330313024
113910a81910769
12141ba62276680
13691881b99613
142d74cc6b3560
1515c6979aa519
hexaec9b139b40

12011330313024 has 112 divisors (see below), whose sum is σ = 36672596533248. Its totient is φ = 3398490091008.

The previous prime is 12011330313023. The next prime is 12011330313049. The reversal of 12011330313024 is 42031303311021.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a junction number, because it is equal to n+sod(n) for n = 12011330312985 and 12011330313003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011330313023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43245072 + ... + 43521935.

Almost surely, 212011330313024 is an apocalyptic number.

12011330313024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12011330313024 is an abundant number, since it is smaller than the sum of its proper divisors (24661266220224).

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

12011330313024 is a wasteful number, since it uses less digits than its factorization.

12011330313024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86767132 (or 86767122 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12011330313024 its reverse (42031303311021), we get a palindrome (54042633624045).

The spelling of 12011330313024 in words is "twelve trillion, eleven billion, three hundred thirty million, three hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 103 112 168 192 206 224 309 336 412 448 618 672 721 824 1236 1344 1442 1648 2163 2472 2884 3296 4326 4944 5768 6592 8652 9888 11536 17304 19776 23072 34608 46144 69216 138432 86767007 173534014 260301021 347068028 520602042 607369049 694136056 1041204084 1214738098 1388272112 1822107147 2082408168 2429476196 2776544224 3644214294 4164816336 4858952392 5553088448 7288428588 8329632672 8937001721 9717904784 14576857176 16659265344 17874003442 19435809568 26811005163 29153714352 35748006884 38871619136 53622010326 58307428704 62559012047 71496013768 107244020652 116614857408 125118024094 142992027536 187677036141 214488041304 250236048188 285984055072 375354072282 428976082608 500472096376 571968110144 750708144564 857952165216 1000944192752 1501416289128 1715904330432 2001888385504 3002832578256 4003776771008 6005665156512 12011330313024