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12040135056 = 243338971647
BaseRepresentation
bin10110011011010010…
…11110000110010000
31011002002122020022000
423031221132012100
5144124233310211
65310421514000
7604236313365
oct131551360620
934062566260
1012040135056
115119384744
122400272900
13119b577991
148230a846c
154a704c656
hex2cda5e190

12040135056 has 80 divisors (see below), whose sum is σ = 34648972800. Its totient is φ = 4003005312.

The previous prime is 12040135031. The next prime is 12040135087. The reversal of 12040135056 is 65053104021.

It is a super-3 number, since 3×120401350563 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132225 + ... + 203871.

It is an arithmetic number, because the mean of its divisors is an integer number (433112160).

Almost surely, 212040135056 is an apocalyptic number.

12040135056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12040135056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17324486400).

12040135056 is an abundant number, since it is smaller than the sum of its proper divisors (22608837744).

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

12040135056 is a wasteful number, since it uses less digits than its factorization.

12040135056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72053 (or 72041 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 12040135056 its reverse (65053104021), we get a palindrome (77093239077).

The spelling of 12040135056 in words is "twelve billion, forty million, one hundred thirty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 389 432 778 1167 1556 2334 3112 3501 4668 6224 7002 9336 10503 14004 18672 21006 28008 42012 56016 71647 84024 143294 168048 214941 286588 429882 573176 644823 859764 1146352 1289646 1719528 1934469 2579292 3439056 3868938 5158584 7737876 10317168 15475752 27870683 30951504 55741366 83612049 111482732 167224098 222965464 250836147 334448196 445930928 501672294 668896392 752508441 1003344588 1337792784 1505016882 2006689176 3010033764 4013378352 6020067528 12040135056