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121122313320 = 233517283209801
BaseRepresentation
bin111000011001101110…
…0111101010001101000
3102120122020000000221110
41300303130331101220
53441024303011240
6131350503310320
711515344450621
oct1606334752150
9376566000843
10121122313320
114740542a798
121b58374b3a0
13b56387b3a8
145c10412a48
15323d797c80
hex1c3373d468

121122313320 has 128 divisors (see below), whose sum is σ = 386102816640. Its totient is φ = 30291763200.

The previous prime is 121122313237. The next prime is 121122313321. The reversal of 121122313320 is 23313221121.

It is a super-2 number, since 2×1211223133202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121122313321) 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, 472420 + ... + 682220.

It is an arithmetic number, because the mean of its divisors is an integer number (3016428255).

Almost surely, 2121122313320 is an apocalyptic number.

121122313320 is a gapful number since it is divisible by the number (10) 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 121122313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193051408320).

121122313320 is an abundant number, since it is smaller than the sum of its proper divisors (264980503320).

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

121122313320 is a wasteful number, since it uses less digits than its factorization.

121122313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210115 (or 210111 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 121122313320 its reverse (23313221121), we get a palindrome (144435534441).

The spelling of 121122313320 in words is "one hundred twenty-one billion, one hundred twenty-two million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 283 340 408 510 566 680 849 1020 1132 1415 1698 2040 2264 2830 3396 4245 4811 5660 6792 8490 9622 11320 14433 16980 19244 24055 28866 33960 38488 48110 57732 72165 96220 115464 144330 192440 209801 288660 419602 577320 629403 839204 1049005 1258806 1678408 2098010 2517612 3147015 3566617 4196020 5035224 6294030 7133234 8392040 10699851 12588060 14266468 17833085 21399702 25176120 28532936 35666170 42799404 53499255 59373683 71332340 85598808 106998510 118747366 142664680 178121049 213997020 237494732 296868415 356242098 427994040 474989464 593736830 712484196 890605245 1009352611 1187473660 1424968392 1781210490 2018705222 2374947320 3028057833 3562420980 4037410444 5046763055 6056115666 7124841960 8074820888 10093526110 12112231332 15140289165 20187052220 24224462664 30280578330 40374104440 60561156660 121122313320