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12034662721452 = 22327173739751327
BaseRepresentation
bin1010111100100000100111…
…0010111110011110101100
31120121111120100002210112200
42233020021302332132230
53034133442124041302
641332351524301500
72351322106204320
oct257101162763654
946544510083480
1012034662721452
11391a9653aa538
121424494241890
13693b2ca92857
142d86a33ad980
1515d0b107b81c
hexaf209cbe7ac

12034662721452 has 144 divisors (see below), whose sum is σ = 36821803898880. Its totient is φ = 3235341989376.

The previous prime is 12034662721447. The next prime is 12034662721453. The reversal of 12034662721452 is 25412726643021.

12034662721452 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 4 + 6 + 627 + 2 + 14 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12034662721398 and 12034662721407.

It is not an unprimeable number, because it can be changed into a prime (12034662721453) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15642213 + ... + 16393539.

It is an arithmetic number, because the mean of its divisors is an integer number (255706971520).

Almost surely, 212034662721452 is an apocalyptic number.

12034662721452 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 12034662721452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18410901949440).

12034662721452 is an abundant number, since it is smaller than the sum of its proper divisors (24787141177428).

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

12034662721452 is a wasteful number, since it uses less digits than its factorization.

12034662721452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755100 (or 755095 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 12034662721452 in words is "twelve trillion, thirty-four billion, six hundred sixty-two million, seven hundred twenty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 3739 4284 7478 11217 14956 22434 26173 33651 44868 52346 63563 67302 78519 104692 127126 134604 157038 190689 235557 254252 314076 381378 444941 471114 572067 751327 762756 889882 942228 1144134 1334823 1502654 1779764 2253981 2288268 2669646 3005308 4004469 4507962 5259289 5339292 6761943 8008938 9015924 10518578 12772559 13523886 15777867 16017876 21037156 25545118 27047772 31555734 38317677 47333601 51090236 63111468 76635354 89407913 94667202 114953031 153270708 178815826 189334404 229906062 268223739 357631652 459812124 536447478 804671217 1072894956 1609342434 2809211653 3218684868 5618423306 8427634959 11236846612 16855269918 19664481571 25282904877 33710539836 39328963142 47756598101 50565809754 58993444713 78657926284 95513196202 101131619508 117986889426 143269794303 176980334139 191026392404 235973778852 286539588606 334296186707 353960668278 429809382909 573079177212 668592373414 707921336556 859618765818 1002888560121 1337184746828 1719237531636 2005777120242 3008665680363 4011554240484 6017331360726 12034662721452