Search a number
-
+
121301011222200 = 233252236329285151
BaseRepresentation
bin11011100101001010010111…
…101011110100111010111000
3120220111021010000220220020200
4123211022113223310322320
5111344343432333102300
61105552525410322200
734356465065126325
oct3345122753647270
9526437100826220
10121301011222200
1135717519584627
1211730b47289360
13528b836b90234
1421d5000a47b4c
15e054b7227200
hex6e5297af4eb8

121301011222200 has 144 divisors (see below), whose sum is σ = 407372381707200. Its totient is φ = 32346686016000.

The previous prime is 121301011222177. The next prime is 121301011222201. The reversal of 121301011222200 is 2222110103121.

121301011222200 is a `hidden beast` number, since 1 + 21 + 301 + 0 + 1 + 122 + 220 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121301011222201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 425249625 + ... + 425534775.

Almost surely, 2121301011222200 is an apocalyptic number.

121301011222200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121301011222200 is an abundant number, since it is smaller than the sum of its proper divisors (286071370485000).

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

121301011222200 is a wasteful number, since it uses less digits than its factorization.

121301011222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521502 (or 521490 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121301011222200 its reverse (2222110103121), we get a palindrome (123523121325321).

The spelling of 121301011222200 in words is "one hundred twenty-one trillion, three hundred one billion, eleven million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 236329 285151 472658 570302 708987 855453 945316 1140604 1181645 1417974 1425755 1710906 1890632 2126961 2281208 2363290 2566359 2835948 2851510 3421812 3544935 4253922 4277265 4726580 5132718 5671896 5703020 5908225 6843624 7089870 7128775 8507844 8554530 9453160 10265436 10634805 11406040 11816450 12831795 14179740 14257550 17015688 17109060 17724675 20530872 21269610 21386325 23632900 25663590 28359480 28515100 34218120 35449350 42539220 42772650 47265800 51327180 53174025 57030200 64158975 70898700 85078440 85545300 102654360 106348050 128317950 141797400 171090600 212696100 256635900 425392200 513271800 67389450679 134778901358 202168352037 269557802716 336947253395 404336704074 539115605432 606505056111 673894506790 808673408148 1010841760185 1213010112222 1347789013580 1617346816296 1684736266975 2021683520370 2426020224444 2695578027160 3032525280555 3369472533950 4043367040740 4852040448888 5054208800925 6065050561110 6738945067900 8086734081480 10108417601850 12130101122220 13477890135800 15162626402775 20216835203700 24260202244440 30325252805550 40433670407400 60650505611100 121301011222200