Search a number
-
+
212022120012 = 223192232127967
BaseRepresentation
bin1100010101110110000…
…0001100111001001100
3202021021012000122210120
43011131200030321030
511433210130320022
6241222425504540
721214051166403
oct3053540147114
9667235018716
10212022120012
1181a10a6097a
1235111942150
1316cbbc2a061
14a394a1a63a
1557adb13d5c
hex315d80ce4c

212022120012 has 72 divisors (see below), whose sum is σ = 544827902976. Its totient is φ = 64043264736.

The previous prime is 212022120007. The next prime is 212022120043. The reversal of 212022120012 is 210021220212.

It is a super-3 number, since 3×2120221200123 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212022119973 and 212022120000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 964348 + ... + 1163619.

It is an arithmetic number, because the mean of its divisors is an integer number (7567054208).

Almost surely, 2212022120012 is an apocalyptic number.

It is an amenable number.

212022120012 is an abundant number, since it is smaller than the sum of its proper divisors (332805782964).

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

212022120012 is a wasteful number, since it uses less digits than its factorization.

212022120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128035 (or 2128014 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212022120012 its reverse (210021220212), we get a palindrome (422043340224).

The spelling of 212022120012 in words is "two hundred twelve billion, twenty-two million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 361 437 722 874 1083 1311 1444 1748 2166 2622 4332 5244 8303 16606 24909 33212 49818 99636 2127967 4255934 6383901 8511868 12767802 25535604 40431373 48943241 80862746 97886482 121294119 146829723 161725492 195772964 242588238 293659446 485176476 587318892 768196087 929921579 1536392174 1859843158 2304588261 2789764737 3072784348 3719686316 4609176522 5579529474 9218353044 11159058948 17668510001 35337020002 53005530003 70674040004 106011060006 212022120012