Search a number
-
+
121312212330222 = 23219285212190959
BaseRepresentation
bin11011100101010100110011…
…010100101010011011101110
3120220112100000122210010211100
4123211110303110222123232
5111400034402324031342
61110002021101103530
734360342466023044
oct3345246324523356
9526470018703740
10121312212330222
11357212472918a1
1211733152557ba6
13528c90066c2c4
1421d5784508394
15e0592078de4c
hex6e553352a6ee

121312212330222 has 72 divisors (see below), whose sum is σ = 277437754882080. Its totient is φ = 38304606352320.

The previous prime is 121312212330139. The next prime is 121312212330251. The reversal of 121312212330222 is 222033212213121.

121312212330222 is a `hidden beast` number, since 1 + 2 + 1 + 312 + 2 + 1 + 23 + 302 + 22 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54273979 + ... + 56464937.

It is an arithmetic number, because the mean of its divisors is an integer number (3853302151140).

Almost surely, 2121312212330222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121312212330222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138718877441040).

121312212330222 is an abundant number, since it is smaller than the sum of its proper divisors (156125542551858).

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

121312212330222 is a wasteful number, since it uses less digits than its factorization.

121312212330222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199526 (or 2199504 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 121312212330222 its reverse (222033212213121), we get a palindrome (343345424543343).

The spelling of 121312212330222 in words is "one hundred twenty-one trillion, three hundred twelve billion, two hundred twelve million, three hundred thirty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 722 1083 2166 3249 6498 8521 17042 25563 51126 76689 153378 161899 323798 485697 971394 1457091 2190959 2914182 3076081 4381918 6152162 6572877 9228243 13145754 18456486 19718631 27684729 39437262 41628221 55369458 83256442 124884663 249769326 374653989 749307978 790936199 1581872398 2372808597 4745617194 7118425791 14236851582 18669161639 37338323278 56007484917 112014969834 168022454751 336044909502 354714071141 709428142282 1064142213423 2128284426846 3192426640269 6384853280538 6739567351679 13479134703358 20218702055037 40437404110074 60656106165111 121312212330222