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12121200999936 = 29337125260427
BaseRepresentation
bin1011000001100010111111…
…1000010011111000000000
31120220202221100010211111000
42300120233320103320000
53042043204423444221
641440223004052000
72360504442346320
oct260305770237000
946822840124430
1012121200999936
113953632a68a56
121439205834000
1369c04165b5b2
142dc952635280
1516047855ce26
hexb062fe13e00

12121200999936 has 160 divisors (see below), whose sum is σ = 41005253710080. Its totient is φ = 3463200258048.

The previous prime is 12121200999881. The next prime is 12121200999937. The reversal of 12121200999936 is 63999900212121.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121200999937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62533446 + ... + 62726981.

It is an arithmetic number, because the mean of its divisors is an integer number (256282835688).

Almost surely, 212121200999936 is an apocalyptic number.

12121200999936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12121200999936 is an abundant number, since it is smaller than the sum of its proper divisors (28884052710144).

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

12121200999936 is an equidigital number, since it uses as much as digits as its factorization.

12121200999936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125260461 (or 125260439 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The spelling of 12121200999936 in words is "twelve trillion, one hundred twenty-one billion, two hundred million, nine hundred ninety-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1728 1792 2016 2304 2688 3024 3456 3584 4032 4608 5376 6048 6912 8064 10752 12096 13824 16128 24192 32256 48384 96768 125260427 250520854 375781281 501041708 751562562 876822989 1002083416 1127343843 1503125124 1753645978 2004166832 2254687686 2630468967 3006250248 3382031529 3507291956 4008333664 4509375372 5260937934 6012500496 6764063058 7014583912 7891406901 8016667328 9018750744 10521875868 12025000992 13528126116 14029167824 15782813802 16033334656 18037501488 21043751736 23674220703 24050001984 27056252232 28058335648 31565627604 32066669312 36075002976 42087503472 47348441406 48100003968 54112504464 56116671296 63131255208 64133338624 72150005952 84175006944 94696882812 96200007936 108225008928 112233342592 126262510416 144300011904 168350013888 189393765624 192400015872 216450017856 224466685184 252525020832 288600023808 336700027776 378787531248 432900035712 448933370368 505050041664 577200047616 673400055552 757575062496 865800071424 1010100083328 1346800111104 1515150124992 1731600142848 2020200166656 3030300249984 4040400333312 6060600499968 12121200999936