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12434410203012 = 22327127600764679
BaseRepresentation
bin1011010011110001110010…
…0110100110011110000100
31122000201101102111220100200
42310330130212212132010
53112211133002444022
642240142244210500
72422233163554060
oct264743446463604
948021342456320
1012434410203012
113a64449439006
121489a56999a30
136c2737cb90a5
1430db85bdcaa0
151686aa6e4bac
hexb4f1c9a6784

12434410203012 has 144 divisors (see below), whose sum is σ = 36211063848960. Its totient is φ = 3524073448896.

The previous prime is 12434410203001. The next prime is 12434410203031. The reversal of 12434410203012 is 21030201443421.

12434410203012 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 441 + 0 + 203 + 0 + 12 = 666.

12434410203012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124344102030122 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192215689 + ... + 192280367.

Almost surely, 212434410203012 is an apocalyptic number.

12434410203012 is a gapful number since it is divisible by the number (12) 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 12434410203012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18105531924480).

12434410203012 is an abundant number, since it is smaller than the sum of its proper divisors (23776653645948).

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

12434410203012 is a wasteful number, since it uses less digits than its factorization.

12434410203012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70830 (or 70825 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12434410203012 its reverse (21030201443421), we get a palindrome (33464611646433).

The spelling of 12434410203012 in words is "twelve trillion, four hundred thirty-four billion, four hundred ten million, two hundred three thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 127 252 254 381 508 762 889 1143 1524 1778 2286 2667 3556 4572 5334 6007 8001 10668 12014 16002 18021 24028 32004 36042 42049 54063 64679 72084 84098 108126 126147 129358 168196 194037 216252 252294 258716 378441 388074 452753 504588 582111 756882 762889 776148 905506 1164222 1358259 1513764 1525778 1811012 2288667 2328444 2716518 3051556 4074777 4577334 5340223 5433036 6866001 8149554 8214233 9154668 10680446 13732002 16020669 16299108 16428466 21360892 24642699 27464004 32041338 32856932 48062007 49285398 57499631 64082676 73928097 96124014 98570796 114999262 147856194 172498893 192248028 229998524 295712388 344997786 388526753 517496679 689995572 777053506 1034993358 1165580259 1554107012 2069986716 2331160518 2719687271 3496740777 4662321036 5439374542 6993481554 8159061813 10878749084 13986963108 16318123626 24477185439 32636247252 48954370878 49342897631 97908741756 98685795262 148028692893 197371590524 296057385786 345400283417 444086078679 592114771572 690800566834 888172157358 1036200850251 1381601133668 1776344314716 2072401700502 3108602550753 4144803401004 6217205101506 12434410203012