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121141231120 = 24571320398161
BaseRepresentation
bin111000011010010010…
…1000111111000010000
3102120200112121011021201
41300310211013320100
53441044123343440
6131352421000544
711515664321560
oct1606445077020
9376615534251
10121141231120
1147415080a38
121b589b53154
13b567773060
145c12b38da0
15324028319a
hex1c34947e10

121141231120 has 160 divisors (see below), whose sum is σ = 346862799360. Its totient is φ = 38315704320.

The previous prime is 121141231103. The next prime is 121141231121. The reversal of 121141231120 is 21132141121.

It is a super-3 number, since 3×1211412311203 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (121141231121) 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, 14839840 + ... + 14848000.

It is an arithmetic number, because the mean of its divisors is an integer number (2167892496).

Almost surely, 2121141231120 is an apocalyptic number.

121141231120 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 121141231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173431399680).

121141231120 is an abundant number, since it is smaller than the sum of its proper divisors (225721568240).

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

121141231120 is a wasteful number, since it uses less digits than its factorization.

121141231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10233 (or 10227 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 121141231120 its reverse (21132141121), we get a palindrome (142273372241).

The spelling of 121141231120 in words is "one hundred twenty-one billion, one hundred forty-one million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 2039 3640 4078 7280 8156 8161 10195 14273 16312 16322 20390 26507 28546 32624 32644 40780 40805 53014 57092 57127 65288 71365 81560 81610 106028 106093 114184 114254 130576 132535 142730 163120 163220 185549 212056 212186 228368 228508 265070 285460 285635 326440 371098 424112 424372 457016 530140 530465 570920 571270 652880 742196 742651 848744 914032 927745 1060280 1060930 1141840 1142540 1484392 1485302 1697488 1855490 2120560 2121860 2285080 2968784 2970604 3710980 3713255 4243720 4570160 5941208 7421960 7426510 8487440 11882416 14843920 14853020 16640279 29706040 33280558 59412080 66561116 83201395 116481953 133122232 166402790 216323627 232963906 266244464 332805580 432647254 465927812 582409765 665611160 865294508 931855624 1081618135 1164819530 1331222320 1514265389 1730589016 1863711248 2163236270 2329639060 3028530778 3461178032 4326472540 4659278120 6057061556 7571326945 8652945080 9318556240 12114123112 15142653890 17305890160 24228246224 30285307780 60570615560 121141231120