Search a number
-
+
121001100011220 = 2235111314102692309
BaseRepresentation
bin11011100000110011000011…
…100101010110011011010100
3120212102120222201001211010210
4123200303003211112123110
5111324440223100324340
61105203045444245420
734326020025654042
oct3340630345263324
9525376881054123
10121001100011220
1135611307511890
12116a29a76a0870
13526947c57b310
1421c46ad619392
15dec7b2756180
hex6e0cc39566d4

121001100011220 has 96 divisors (see below), whose sum is σ = 398034387757440. Its totient is φ = 27077169231360.

The previous prime is 121001100011219. The next prime is 121001100011249. The reversal of 121001100011220 is 22110001100121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121001100011196 and 121001100011205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7051337575 + ... + 7051354734.

It is an arithmetic number, because the mean of its divisors is an integer number (4146191539140).

Almost surely, 2121001100011220 is an apocalyptic number.

121001100011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121001100011220 is an abundant number, since it is smaller than the sum of its proper divisors (277033287746220).

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

121001100011220 is a wasteful number, since it uses less digits than its factorization.

121001100011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14102692345 (or 14102692343 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121001100011220 its reverse (22110001100121), we get a palindrome (143111101111341).

The spelling of 121001100011220 in words is "one hundred twenty-one trillion, one billion, one hundred million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 8580 14102692309 28205384618 42308076927 56410769236 70513461545 84616153854 141026923090 155129615399 169232307708 183335000017 211540384635 282053846180 310259230798 366670000034 423080769270 465388846197 550005000051 620518461596 733340000068 775648076995 846161538540 916675000085 930777692394 1100010000102 1551296153990 1833350000170 1861555384788 2016685000187 2200020000204 2326944230985 2750025000255 3102592307980 3666700000340 4033370000374 4653888461970 5500050000510 6050055000561 8066740000748 9307776923940 10083425000935 11000100001020 12100110001122 20166850001870 24200220002244 30250275002805 40333700003740 60500550005610 121001100011220