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121330121220 = 223257118753977
BaseRepresentation
bin111000011111111010…
…1101011101000000100
3102121011201000202210100
41300333311223220010
53441441002334340
6131423245324100
711523450004560
oct1607765535004
9377151022710
10121330121220
1147501765960
121b621266630
13b59793a549
145c2dc686a0
153251b45830
hex1c3fd6ba04

121330121220 has 144 divisors (see below), whose sum is σ = 458848510848. Its totient is φ = 25211450880.

The previous prime is 121330121219. The next prime is 121330121239. The reversal of 121330121220 is 22121033121.

121330121220 is a `hidden beast` number, since 121 + 3 + 301 + 21 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121330121193 and 121330121202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4363129 + ... + 4390848.

It is an arithmetic number, because the mean of its divisors is an integer number (3186447992).

Almost surely, 2121330121220 is an apocalyptic number.

121330121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121330121220 is an abundant number, since it is smaller than the sum of its proper divisors (337518389628).

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

121330121220 is a wasteful number, since it uses less digits than its factorization.

121330121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8754010 (or 8754005 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121330121220 its reverse (22121033121), we get a palindrome (143451154341).

The spelling of 121330121220 in words is "one hundred twenty-one billion, three hundred thirty million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 8753977 17507954 26261931 35015908 43769885 52523862 61277839 78785793 87539770 96293747 105047724 122555678 131309655 157571586 175079540 183833517 192587494 245111356 262619310 288881241 306389195 315143172 367667034 385174988 393928965 481468735 525238620 551500551 577762482 612778390 674056229 735334068 787857930 866643723 919167585 962937470 1103001102 1155524964 1225556780 1348112458 1444406205 1575715860 1733287446 1838335170 1925874940 2022168687 2206002204 2696224916 2757502755 2888812410 3370281145 3466574892 3676670340 4044337374 4333218615 5515005510 5777624820 6066506061 6740562290 8088674748 8666437230 10110843435 11030011020 12133012122 13481124580 17332874460 20221686870 24266024244 30332530305 40443373740 60665060610 121330121220