Search a number
-
+
121121012021220 = 2232519111791316801
BaseRepresentation
bin11011100010100010101110…
…111001010111011111100100
3120212212001111120200002001100
4123202202232321113133210
5111333421313034134340
61105334120315000100
734340463406144611
oct3342425671273744
9525761446602040
10121121012021220
11356581507387a2
1211702091a39030
13527787c4685a3
1421ca406db9508
15e0097eb2a830
hex6e28aee577e4

121121012021220 has 144 divisors (see below), whose sum is σ = 386741946689280. Its totient is φ = 30598622208000.

The previous prime is 121121012021117. The next prime is 121121012021279. The reversal of 121121012021220 is 22120210121121.

121121012021220 is a `hidden beast` number, since 1 + 211 + 210 + 1 + 2 + 0 + 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 = 121121012021193 and 121121012021202.

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, 382166820 + ... + 382483620.

It is an arithmetic number, because the mean of its divisors is an integer number (2685707963120).

Almost surely, 2121121012021220 is an apocalyptic number.

121121012021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121121012021220 is an abundant number, since it is smaller than the sum of its proper divisors (265620934668060).

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

121121012021220 is a wasteful number, since it uses less digits than its factorization.

121121012021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428626 (or 428621 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121121012021220 its reverse (22120210121121), we get a palindrome (143241222142341).

The spelling of 121121012021220 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, twelve million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 111791 223582 316801 335373 447164 558955 633602 670746 950403 1006119 1117910 1267204 1341492 1584005 1676865 1900806 2012238 2124029 2235820 2851209 3168010 3353730 3801612 4024476 4248058 4752015 5030595 5702418 6019219 6336020 6372087 6707460 8496116 9504030 10061190 10620145 11404836 12038438 12744174 14256045 18057657 19008060 19116261 20122380 21240290 24076876 25488348 28512090 30096095 31860435 36115314 38232522 42480580 54172971 57024180 60192190 63720870 72230628 76465044 90288285 95581305 108345942 120384380 127441740 180576570 191162610 216691884 270864855 361153140 382325220 541729710 1083459420 35415500591 70831001182 106246501773 141662002364 177077502955 212493003546 318739505319 354155005910 424986007092 531232508865 637479010638 672894511229 708310011820 1062465017730 1274958021276 1345789022458 1593697526595 2018683533687 2124930035460 2691578044916 3187395053190 3364472556145 4037367067374 6056050601061 6374790106380 6728945112290 8074734134748 10093417668435 12112101202122 13457890224580 20186835336870 24224202404244 30280253005305 40373670673740 60560506010610 121121012021220