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12037281224412 = 22359103478334511
BaseRepresentation
bin1010111100101010010111…
…0111110001011011011100
31120121202022211021112022210
42233022211313301123130
53034204322443140122
641333503424040420
72351444023130613
oct257124567613334
946552284245283
1012037281224412
113920a89492574
121424aa5163110
136941594136a2
142d887106a87a
1515d1b5db440c
hexaf2a5df16dc

12037281224412 has 96 divisors (see below), whose sum is σ = 28847216885760. Its totient is φ = 3905194668480.

The previous prime is 12037281224393. The next prime is 12037281224413. The reversal of 12037281224412 is 21442218273021.

It is a super-2 number, since 2×120372812244122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12037281224413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348778237 + ... + 348812747.

It is an arithmetic number, because the mean of its divisors is an integer number (300491842560).

Almost surely, 212037281224412 is an apocalyptic number.

12037281224412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12037281224412 is an abundant number, since it is smaller than the sum of its proper divisors (16809935661348).

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

12037281224412 is a wasteful number, since it uses less digits than its factorization.

12037281224412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39463 (or 39461 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

Adding to 12037281224412 its reverse (21442218273021), we get a palindrome (33479499497433).

The spelling of 12037281224412 in words is "twelve trillion, thirty-seven billion, two hundred eighty-one million, two hundred twenty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 59 103 118 177 206 236 309 354 412 618 708 1236 4783 6077 9566 12154 14349 18231 19132 24308 28698 34511 36462 57396 69022 72924 103533 138044 207066 282197 414132 492649 564394 846591 985298 1128788 1477947 1693182 1970596 2036149 2955894 3386364 3554633 4072298 5911788 6108447 7109266 8144596 10663899 12216894 14218532 21327798 24433788 29066291 42655596 58132582 87198873 116265164 165066113 174397746 209723347 330132226 348795492 419446694 495198339 629170041 660264452 838893388 990396678 1258340082 1980793356 2516680164 9738900667 17001809639 19477801334 29216702001 34003619278 38955602668 51005428917 58433404002 68007238556 102010857834 116866808004 204021715668 1003106768701 2006213537402 3009320306103 4012427074804 6018640612206 12037281224412