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121331044422 = 23372918161151
BaseRepresentation
bin111000011111111100…
…1001101000001000110
3102121011202202200012000
41300333321031001012
53441441221410142
6131423321210130
711523460601250
oct1607771150106
9377152680160
10121331044422
1147502236535
121b621630946
13b597ba1813
145c30028cd0
153251c7914c
hex1c3fe4d046

121331044422 has 128 divisors (see below), whose sum is σ = 320534323200. Its totient is φ = 33285168000.

The previous prime is 121331044421. The next prime is 121331044427. The reversal of 121331044422 is 224440133121.

121331044422 is a `hidden beast` number, since 1 + 2 + 133 + 104 + 4 + 422 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121331044421) 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 63 ways as a sum of consecutive naturals, for example, 1953547 + ... + 2014697.

It is an arithmetic number, because the mean of its divisors is an integer number (2504174400).

Almost surely, 2121331044422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121331044422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160267161600).

121331044422 is an abundant number, since it is smaller than the sum of its proper divisors (199203278778).

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

121331044422 is a wasteful number, since it uses less digits than its factorization.

121331044422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61379 (or 61373 counting only the distinct ones).

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

Adding to 121331044422 its reverse (224440133121), we get a palindrome (345771177543).

The spelling of 121331044422 in words is "one hundred twenty-one billion, three hundred thirty-one million, forty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 87 126 174 181 189 203 261 362 378 406 522 543 609 783 1086 1218 1267 1566 1629 1827 2534 3258 3654 3801 4887 5249 5481 7602 9774 10498 10962 11403 15747 22806 31494 34209 36743 47241 61151 68418 73486 94482 110229 122302 141723 183453 220458 283446 330687 366906 428057 550359 661374 856114 992061 1100718 1284171 1651077 1773379 1984122 2568342 3302154 3546758 3852513 5320137 7705026 10640274 11068331 11557539 12413653 15960411 22136662 23115078 24827306 31920822 33204993 37240959 47881233 66409986 74481918 77478317 95762466 99614979 111722877 154956634 199229958 223445754 232434951 298844937 320981599 335168631 464869902 597689874 641963198 670337262 697304853 962944797 1394609706 1925889594 2091914559 2246871193 2888834391 4183829118 4493742386 5777668782 6740613579 8666503173 13481227158 17333006346 20221840737 40443681474 60665522211 121331044422