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12040124131424 = 2523239599114269
BaseRepresentation
bin1010111100110100111101…
…0100100110100001100000
31120122000122221201011121002
42233031033110212201200
53034231133234201144
641335053501251132
72351604333342344
oct257151724464140
946560587634532
1012040124131424
1139222082066a4
121425559263aa8
136944c03b469c
142d8a6085d624
1515d2d077714e
hexaf34f526860

12040124131424 has 96 divisors (see below), whose sum is σ = 24879778560000. Its totient is φ = 5724603748864.

The previous prime is 12040124131417. The next prime is 12040124131463. The reversal of 12040124131424 is 42413142104021.

It is a congruent number.

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, 105309362 + ... + 105423630.

It is an arithmetic number, because the mean of its divisors is an integer number (259164360000).

Almost surely, 212040124131424 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 12040124131424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12439889280000).

12040124131424 is an abundant number, since it is smaller than the sum of its proper divisors (12839654428576).

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

12040124131424 is a wasteful number, since it uses less digits than its factorization.

12040124131424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115140 (or 115132 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 12040124131424 its reverse (42413142104021), we get a palindrome (54453266235445).

The spelling of 12040124131424 in words is "twelve trillion, forty billion, one hundred twenty-four million, one hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 239 368 478 599 736 956 1198 1912 2396 3824 4792 5497 7648 9584 10994 13777 19168 21988 27554 43976 55108 87952 110216 114269 143161 175904 220432 228538 286322 440864 457076 572644 914152 1145288 1828304 2290576 2628187 3292703 3656608 4581152 5256374 6585406 10512748 13170812 21025496 26341624 27310291 42050992 52683248 54620582 68447131 84101984 105366496 109241164 136894262 218482328 273788524 436964656 547577048 628136693 873929312 1095154096 1256273386 1574284013 2190308192 2512546772 3148568026 5025093544 6297136052 10050187088 12594272104 16358864309 20100374176 25188544208 32717728618 50377088416 65435457236 130870914472 261741828944 376253879107 523483657888 752507758214 1505015516428 3010031032856 6020062065712 12040124131424