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121226636880 = 24335173301379
BaseRepresentation
bin111000011100110101…
…0111010111001010000
3102120220111022012222000
41300321222322321100
53441233004340010
6131405111314000
711521052261136
oct1607152727120
9376814265860
10121226636880
1147459304608
121b5b267b900
13b57c376acb
145c2020b756
153247a037c0
hex1c39abae50

121226636880 has 160 divisors (see below), whose sum is σ = 442120809600. Its totient is φ = 30425499648.

The previous prime is 121226636879. The next prime is 121226636887. The reversal of 121226636880 is 88636622121.

121226636880 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 2 + 6 + 636 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×1212266368802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121226636887) 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 31 ways as a sum of consecutive naturals, for example, 1613970 + ... + 1687409.

It is an arithmetic number, because the mean of its divisors is an integer number (2763255060).

Almost surely, 2121226636880 is an apocalyptic number.

121226636880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121226636880 is an abundant number, since it is smaller than the sum of its proper divisors (320894172720).

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

121226636880 is a wasteful number, since it uses less digits than its factorization.

121226636880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301418 (or 3301406 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 121226636880 in words is "one hundred twenty-one billion, two hundred twenty-six million, six hundred thirty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 340 360 408 432 459 510 540 612 680 720 765 816 918 1020 1080 1224 1360 1530 1836 2040 2160 2295 2448 3060 3672 4080 4590 6120 7344 9180 12240 18360 36720 3301379 6602758 9904137 13205516 16506895 19808274 26411032 29712411 33013790 39616548 49520685 52822064 56123443 59424822 66027580 79233096 89137233 99041370 112246886 118849644 132055160 148562055 158466192 168370329 178274466 198082740 224493772 237699288 264110320 280617215 297124110 336740658 356548932 396165480 445686165 448987544 475398576 505110987 561234430 594248220 673481316 713097864 792330960 841851645 891372330 897975088 1010221974 1122468860 1188496440 1346962632 1426195728 1515332961 1683703290 1782744660 2020443948 2244937720 2376992880 2525554935 2693925264 3030665922 3367406580 3565489320 4040887896 4489875440 5051109870 6061331844 6734813160 7130978640 7576664805 8081775792 10102219740 12122663688 13469626320 15153329610 20204439480 24245327376 30306659220 40408878960 60613318440 121226636880